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45921792 = 29374271
BaseRepresentation
bin1010111100101…
…1011000000000
310012102001212010
42233023120000
543223444132
64320132520
71065220530
oct257133000
9105361763
1045921792
1123a157a4
1213467140
13968b077
1461554c0
1540716cc
hex2bcb600

45921792 has 80 divisors (see below), whose sum is σ = 139848192. Its totient is φ = 13117440.

The previous prime is 45921791. The next prime is 45921793. The reversal of 45921792 is 29712954.

It is an interprime number because it is at equal distance from previous prime (45921791) and next prime (45921793).

It is a self number, because there is not a number n which added to its sum of digits gives 45921792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45921791) 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 7 ways as a sum of consecutive naturals, for example, 8617 + ... + 12887.

Almost surely, 245921792 is an apocalyptic number.

45921792 is a gapful number since it is divisible by the number (42) 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 45921792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69924096).

45921792 is an abundant number, since it is smaller than the sum of its proper divisors (93926400).

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

45921792 is an equidigital number, since it uses as much as digits as its factorization.

45921792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4299 (or 4283 counting only the distinct ones).

The product of its digits is 45360, while the sum is 39.

The square root of 45921792 is about 6776.5619601683. The cubic root of 45921792 is about 358.1016117629.

The spelling of 45921792 in words is "forty-five million, nine hundred twenty-one thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1344 1536 1792 2688 3584 4271 5376 8542 10752 12813 17084 25626 29897 34168 51252 59794 68336 89691 102504 119588 136672 179382 205008 239176 273344 358764 410016 478352 546688 717528 820032 956704 1093376 1435056 1640064 1913408 2186752 2870112 3280128 3826816 5740224 6560256 7653632 11480448 15307264 22960896 45921792