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73785856 = 29211683
BaseRepresentation
bin1000110010111…
…10001000000000
312010211201011111
410121132020000
5122342121411
611153253104
71554112054
oct431361000
9163751144
1073785856
1138717451
1220864194
1312395a91
149b29c64
156727721
hex465e200

73785856 has 40 divisors (see below), whose sum is σ = 148343184. Its totient is φ = 36664320.

The previous prime is 73785851. The next prime is 73785883. The reversal of 73785856 is 65858737.

Its product of digits (1411200) is a multiple of the sum of its prime divisors (896).

It is not an unprimeable number, because it can be changed into a prime (73785851) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 107691 + ... + 108373.

Almost surely, 273785856 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 73785856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74171592).

73785856 is an abundant number, since it is smaller than the sum of its proper divisors (74557328).

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

73785856 is an equidigital number, since it uses as much as digits as its factorization.

With its predecessor (73785855) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (912).

73785856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 896 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 49.

The square root of 73785856 is about 8589.8693820104. The cubic root of 73785856 is about 419.4282772763.

The spelling of 73785856 in words is "seventy-three million, seven hundred eighty-five thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 211 256 422 512 683 844 1366 1688 2732 3376 5464 6752 10928 13504 21856 27008 43712 54016 87424 108032 144113 174848 288226 349696 576452 1152904 2305808 4611616 9223232 18446464 36892928 73785856