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73116456 = 23371725601
BaseRepresentation
bin1000101101110…
…10101100101000
312002120200220220
410112322230220
5122204211311
611131050040
71545323340
oct426725450
9162520826
1073116456
11382aa526
12205a0920
13121c019a
1499d3d20
156644206
hex45bab28

73116456 has 64 divisors (see below), whose sum is σ = 221201280. Its totient is φ = 19660800.

The previous prime is 73116451. The next prime is 73116457. The reversal of 73116456 is 65461137.

It is a super-2 number, since 2×731164562 = 10692032275999872, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (73116451) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9945 + ... + 15656.

It is an arithmetic number, because the mean of its divisors is an integer number (3456270).

Almost surely, 273116456 is an apocalyptic number.

It is an amenable number.

73116456 is an abundant number, since it is smaller than the sum of its proper divisors (148084824).

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

73116456 is a wasteful number, since it uses less digits than its factorization.

73116456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25634 (or 25630 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 73116456 is about 8550.8161014023. The cubic root of 73116456 is about 418.1560431728.

The spelling of 73116456 in words is "seventy-three million, one hundred sixteen thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 476 714 952 1428 2856 25601 51202 76803 102404 153606 179207 204808 307212 358414 435217 537621 614424 716828 870434 1075242 1305651 1433656 1740868 2150484 2611302 3046519 3481736 4300968 5222604 6093038 9139557 10445208 12186076 18279114 24372152 36558228 73116456