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46380000 = 25354773
BaseRepresentation
bin1011000011101…
…1001111100000
310020021100101210
42300323033200
543333130000
64334030120
71102136442
oct260731740
9106240353
1046380000
11241a8a87
1213648340
1397bb7b4
146234492
154112350
hex2c3b3e0

46380000 has 120 divisors (see below), whose sum is σ = 152332488. Its totient is φ = 12352000.

The previous prime is 46379989. The next prime is 46380001. The reversal of 46380000 is 8364.

46380000 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 (120).

It is a super-2 number, since 2×463800002 = 4302208800000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46380001) 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 19 ways as a sum of consecutive naturals, for example, 59614 + ... + 60386.

Almost surely, 246380000 is an apocalyptic number.

46380000 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 46380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76166244).

46380000 is an abundant number, since it is smaller than the sum of its proper divisors (105952488).

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

46380000 is an equidigital number, since it uses as much as digits as its factorization.

46380000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 46380000 is about 6810.2863375926. The cubic root of 46380000 is about 359.2887190474.

Adding to 46380000 its reverse (8364), we get a palindrome (46388364).

The spelling of 46380000 in words is "forty-six million, three hundred eighty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 773 800 1000 1200 1250 1500 1546 1875 2000 2319 2400 2500 3000 3092 3750 3865 4000 4638 5000 6000 6184 7500 7730 9276 10000 11595 12000 12368 15000 15460 18552 19325 20000 23190 24736 30000 30920 37104 38650 46380 57975 60000 61840 74208 77300 92760 96625 115950 123680 154600 185520 193250 231900 289875 309200 371040 386500 463800 483125 579750 618400 773000 927600 966250 1159500 1449375 1546000 1855200 1932500 2319000 2898750 3092000 3865000 4638000 5797500 7730000 9276000 11595000 15460000 23190000 46380000