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45352296 = 233211173331
BaseRepresentation
bin1010110100000…
…0010101101000
310011100010122200
42231000111220
543102233141
64300020200
71060326303
oct255002550
9104303580
1045352296
1123666940
1213231660
13951baa2
146047b3a
153eacab6
hex2b40568

45352296 has 96 divisors (see below), whose sum is σ = 135177120. Its totient is φ = 13622400.

The previous prime is 45352291. The next prime is 45352303. The reversal of 45352296 is 69225354.

45352296 is a `hidden beast` number, since 45 + 3 + 522 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 45352296.

It is not an unprimeable number, because it can be changed into a prime (45352291) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136851 + ... + 137181.

It is an arithmetic number, because the mean of its divisors is an integer number (1408095).

Almost surely, 245352296 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 45352296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67588560).

45352296 is an abundant number, since it is smaller than the sum of its proper divisors (89824824).

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

45352296 is a wasteful number, since it uses less digits than its factorization.

45352296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 520 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 45352296 is about 6734.4113328486. The cubic root of 45352296 is about 356.6151255576.

The spelling of 45352296 in words is "forty-five million, three hundred fifty-two thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 173 198 264 331 346 396 519 662 692 792 993 1038 1324 1384 1557 1903 1986 2076 2648 2979 3114 3641 3806 3972 4152 5709 5958 6228 7282 7612 7944 10923 11418 11916 12456 14564 15224 17127 21846 22836 23832 29128 32769 34254 43692 45672 57263 65538 68508 87384 114526 131076 137016 171789 229052 262152 343578 458104 515367 629893 687156 1030734 1259786 1374312 1889679 2061468 2519572 3779358 4122936 5039144 5669037 7558716 11338074 15117432 22676148 45352296