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78849664 = 273716649
BaseRepresentation
bin1001011001100…
…10011010000000
312111100222101221
410230302122000
5130141142124
611454004424
71645132255
oct454623200
9174328357
1078849664
1140565a13
12224a6714
131344990a
14a68742c
156dc7ce4
hex4b32680

78849664 has 32 divisors (see below), whose sum is σ = 161338500. Its totient is φ = 38356992.

The previous prime is 78849653. The next prime is 78849697. The reversal of 78849664 is 46694887.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 68558400 + 10291264 = 8280^2 + 3208^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3589 + ... + 13060.

Almost surely, 278849664 is an apocalyptic number.

78849664 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

78849664 is an abundant number, since it is smaller than the sum of its proper divisors (82488836).

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

78849664 is a wasteful number, since it uses less digits than its factorization.

78849664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16700 (or 16688 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 52.

The square root of 78849664 is about 8879.7333293292. The cubic root of 78849664 is about 428.8116893672.

The spelling of 78849664 in words is "seventy-eight million, eight hundred forty-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 296 592 1184 2368 4736 16649 33298 66596 133192 266384 532768 616013 1065536 1232026 2131072 2464052 4928104 9856208 19712416 39424832 78849664