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76605056 = 2711411327
BaseRepresentation
bin1001001000011…
…10011010000000
312100010221101022
410210032122000
5124102330211
611333525012
71620063233
oct444163200
9170127338
1076605056
113a272570
12217a3768
1312b42048
14a26141a
156ad2bdb
hex490e680

76605056 has 64 divisors (see below), whose sum is σ = 170674560. Its totient is φ = 33945600.

The previous prime is 76605049. The next prime is 76605101. The reversal of 76605056 is 65050667.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57065 + ... + 58391.

It is an arithmetic number, because the mean of its divisors is an integer number (2666790).

Almost surely, 276605056 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 76605056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85337280).

76605056 is an abundant number, since it is smaller than the sum of its proper divisors (94069504).

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

76605056 is a wasteful number, since it uses less digits than its factorization.

76605056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 35.

The square root of 76605056 is about 8752.4314336075. The cubic root of 76605056 is about 424.7034720495.

The spelling of 76605056 in words is "seventy-six million, six hundred five thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 82 88 128 164 176 328 352 451 656 704 902 1312 1327 1408 1804 2624 2654 3608 5248 5308 7216 10616 14432 14597 21232 28864 29194 42464 54407 57728 58388 84928 108814 116776 169856 217628 233552 435256 467104 598477 870512 934208 1196954 1741024 1868416 2393908 3482048 4787816 6964096 9575632 19151264 38302528 76605056