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77493056 = 2631139281
BaseRepresentation
bin1001001111001…
…11001101000000
312101211001111012
410213213031000
5124314234211
611404540052
71630452164
oct447471500
9171731435
1077493056
113a819753
1221b51628
13130932a4
14a412ca4
156c0ad8b
hex49e7340

77493056 has 56 divisors (see below), whose sum is σ = 160446720. Its totient is φ = 37094400.

The previous prime is 77493047. The next prime is 77493061. The reversal of 77493056 is 65039477.

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, 275636 + ... + 275916.

It is an arithmetic number, because the mean of its divisors is an integer number (2865120).

Almost surely, 277493056 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 77493056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80223360).

77493056 is an abundant number, since it is smaller than the sum of its proper divisors (82953664).

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

77493056 is a wasteful number, since it uses less digits than its factorization.

77493056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 41.

The square root of 77493056 is about 8803.0140292970. The cubic root of 77493056 is about 426.3382151021.

The spelling of 77493056 in words is "seventy-seven million, four hundred ninety-three thousand, fifty-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 139 248 278 281 496 556 562 992 1112 1124 1984 2224 2248 4309 4448 4496 8618 8711 8896 8992 17236 17422 17984 34472 34844 39059 68944 69688 78118 137888 139376 156236 275776 278752 312472 557504 624944 1210829 1249888 2421658 2499776 4843316 9686632 19373264 38746528 77493056