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45270000 = 243254503
BaseRepresentation
bin1010110010110…
…0001111110000
310011011221202200
42230230033300
543042120000
64254143200
71056534336
oct254541760
9104157680
1045270000
1123610026
12131b1b00
1394c04a9
146025b56
153e93500
hex2b2c3f0

45270000 has 150 divisors (see below), whose sum is σ = 158630472. Its totient is φ = 12048000.

The previous prime is 45269999. The next prime is 45270007. The reversal of 45270000 is 7254.

It is a happy number.

45270000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (150).

It is a super-3 number, since 3×452700003 (a number of 24 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45270007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 89749 + ... + 90251.

Almost surely, 245270000 is an apocalyptic number.

45270000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45270000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79315236).

45270000 is an abundant number, since it is smaller than the sum of its proper divisors (113360472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45270000 is a wasteful number, since it uses less digits than its factorization.

45270000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 45270000 is about 6728.2984476017. The cubic root of 45270000 is about 356.3992910762.

Adding to 45270000 its reverse (7254), we get a palindrome (45277254).

The spelling of 45270000 in words is "forty-five million, two hundred seventy thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 503 600 625 720 750 900 1000 1006 1125 1200 1250 1500 1509 1800 1875 2000 2012 2250 2500 2515 3000 3018 3600 3750 4024 4500 4527 5000 5030 5625 6000 6036 7500 7545 8048 9000 9054 10000 10060 11250 12072 12575 15000 15090 18000 18108 20120 22500 22635 24144 25150 30000 30180 36216 37725 40240 45000 45270 50300 60360 62875 72432 75450 90000 90540 100600 113175 120720 125750 150900 181080 188625 201200 226350 251500 301800 314375 362160 377250 452700 503000 565875 603600 628750 754500 905400 943125 1006000 1131750 1257500 1509000 1810800 1886250 2263500 2515000 2829375 3018000 3772500 4527000 5030000 5658750 7545000 9054000 11317500 15090000 22635000 45270000