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45254500 = 2253293121
BaseRepresentation
bin1010110010100…
…0011101100100
310011011011111121
42230220131210
543041121000
64253543324
71056441214
oct254503544
9104134447
1045254500
11235aa415
12131a4b44
1394b6415
146020244
153e8db1a
hex2b28764

45254500 has 48 divisors (see below), whose sum is σ = 102276720. Its totient is φ = 17472000.

The previous prime is 45254491. The next prime is 45254507. The reversal of 45254500 is 545254.

It can be written as a sum of positive squares in 8 ways, for example, as 30935844 + 14318656 = 5562^2 + 3784^2 .

It is a super-3 number, since 3×452545003 (a number of 24 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (25) 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 (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45254507) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12940 + ... + 16060.

It is an arithmetic number, because the mean of its divisors is an integer number (2130765).

Almost surely, 245254500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45254500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51138360).

45254500 is an abundant number, since it is smaller than the sum of its proper divisors (57022220).

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

45254500 is a wasteful number, since it uses less digits than its factorization.

45254500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3169 (or 3157 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 25.

The square root of 45254500 is about 6727.1464975872. The cubic root of 45254500 is about 356.3586105696.

Adding to 45254500 its reverse (545254), we get a palindrome (45799754).

It can be divided in two parts, 45254 and 500, that added together give a palindrome (45754).

The spelling of 45254500 in words is "forty-five million, two hundred fifty-four thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 125 145 250 290 500 580 725 1450 2900 3121 3625 6242 7250 12484 14500 15605 31210 62420 78025 90509 156050 181018 312100 362036 390125 452545 780250 905090 1560500 1810180 2262725 4525450 9050900 11313625 22627250 45254500