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45979296 = 2531143541
BaseRepresentation
bin1010111101100…
…1011010100000
310012111222201220
42233121122200
543232314141
64321255040
71065550266
oct257313240
9105458656
1045979296
1123a54a20
1213494480
1396ab2ac
14616c436
154083766
hex2bd96a0

45979296 has 48 divisors (see below), whose sum is σ = 131671008. Its totient is φ = 13932800.

The previous prime is 45979289. The next prime is 45979313. The reversal of 45979296 is 69297954.

45979296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×459792962 = 4228191321311232, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 20715 + ... + 22826.

It is an arithmetic number, because the mean of its divisors is an integer number (2743146).

Almost surely, 245979296 is an apocalyptic number.

It is an amenable number.

45979296 is an abundant number, since it is smaller than the sum of its proper divisors (85691712).

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

45979296 is a wasteful number, since it uses less digits than its factorization.

45979296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43565 (or 43557 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 51.

The square root of 45979296 is about 6780.8034922124. The cubic root of 45979296 is about 358.2510229309.

The spelling of 45979296 in words is "forty-five million, nine hundred seventy-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 43541 87082 130623 174164 261246 348328 478951 522492 696656 957902 1044984 1393312 1436853 1915804 2089968 2873706 3831608 4179936 5747412 7663216 11494824 15326432 22989648 45979296