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45356496 = 24319411213
BaseRepresentation
bin1010110100000…
…1010111010000
310011100100102020
42231001113100
543102401441
64300051440
71060344453
oct255012720
9104310366
1045356496
112366a009
1213233b80
139520983
14604949a
153eade66
hex2b415d0

45356496 has 80 divisors (see below), whose sum is σ = 126450240. Its totient is φ = 13962240.

The previous prime is 45356471. The next prime is 45356497. The reversal of 45356496 is 69465354.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45356497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36786 + ... + 37998.

It is an arithmetic number, because the mean of its divisors is an integer number (1580628).

Almost surely, 245356496 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 45356496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63225120).

45356496 is an abundant number, since it is smaller than the sum of its proper divisors (81093744).

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

45356496 is a wasteful number, since it uses less digits than its factorization.

45356496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284 (or 1278 counting only the distinct ones).

The product of its digits is 388800, while the sum is 42.

The square root of 45356496 is about 6734.7231568937. The cubic root of 45356496 is about 356.6261337271.

The spelling of 45356496 in words is "forty-five million, three hundred fifty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 41 48 57 76 82 114 123 152 164 228 246 304 328 456 492 656 779 912 984 1213 1558 1968 2337 2426 3116 3639 4674 4852 6232 7278 9348 9704 12464 14556 18696 19408 23047 29112 37392 46094 49733 58224 69141 92188 99466 138282 149199 184376 198932 276564 298398 368752 397864 553128 596796 795728 944927 1106256 1193592 1889854 2387184 2834781 3779708 5669562 7559416 11339124 15118832 22678248 45356496