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45256404 = 22319231337
BaseRepresentation
bin1010110010100…
…0111011010100
310011011021010010
42230220323110
543041201104
64254000220
71056446604
oct254507324
9104137103
1045256404
1123600896
12131a6070
1394b724b
146020c04
153e8e489
hex2b28ed4

45256404 has 72 divisors (see below), whose sum is σ = 115385088. Its totient is φ = 13789440.

The previous prime is 45256369. The next prime is 45256427. The reversal of 45256404 is 40465254.

45256404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×452564042 = 4096284206022432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 134124 + ... + 134460.

Almost surely, 245256404 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 45256404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57692544).

45256404 is an abundant number, since it is smaller than the sum of its proper divisors (70128684).

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

45256404 is a wasteful number, since it uses less digits than its factorization.

45256404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 45256404 is about 6727.2880122676. The cubic root of 45256404 is about 356.3636082109.

The spelling of 45256404 in words is "forty-five million, two hundred fifty-six thousand, four hundred four".

Divisors: 1 2 3 4 6 12 19 31 38 57 62 76 93 114 124 186 228 337 361 372 589 674 722 1011 1083 1178 1348 1444 1767 2022 2166 2356 3534 4044 4332 6403 7068 10447 11191 12806 19209 20894 22382 25612 31341 33573 38418 41788 44764 62682 67146 76836 121657 125364 134292 198493 243314 364971 396986 486628 595479 729942 793972 1190958 1459884 2381916 3771367 7542734 11314101 15085468 22628202 45256404