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80557664 = 25111311747
BaseRepresentation
bin1001100110100…
…11011001100000
312121120202100012
410303103121200
5131110321124
611554344052
71665504665
oct463233140
9177522305
1080557664
1141522190
1222b8b028
13138c7175
14a9ada6c
157113e0e
hex4cd3660

80557664 has 48 divisors (see below), whose sum is σ = 174436416. Its totient is φ = 36316800.

The previous prime is 80557657. The next prime is 80557681. The reversal of 80557664 is 46675508.

It is a congruent number.

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, 45239 + ... + 46985.

It is an arithmetic number, because the mean of its divisors is an integer number (3634092).

Almost surely, 280557664 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 80557664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87218208).

80557664 is an abundant number, since it is smaller than the sum of its proper divisors (93878752).

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

80557664 is a wasteful number, since it uses less digits than its factorization.

80557664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1899 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 41.

The square root of 80557664 is about 8975.3921362802. The cubic root of 80557664 is about 431.8858294543.

The spelling of 80557664 in words is "eighty million, five hundred fifty-seven thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 131 176 262 352 524 1048 1441 1747 2096 2882 3494 4192 5764 6988 11528 13976 19217 23056 27952 38434 46112 55904 76868 153736 228857 307472 457714 614944 915428 1830856 2517427 3661712 5034854 7323424 10069708 20139416 40278832 80557664