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78385716 = 223219114599
BaseRepresentation
bin1001010110000…
…01001000110100
312110111101222200
410223001020310
5130031320331
611440024500
71641160533
oct453011064
9173441880
1078385716
1140279392
1222302130
13133166a6
14a5a631a
156d355e6
hex4ac1234

78385716 has 36 divisors (see below), whose sum is σ = 208572000. Its totient is φ = 24753168.

The previous prime is 78385693. The next prime is 78385729. The reversal of 78385716 is 61758387.

78385716 is a `hidden beast` number, since 78 + 3 + 8 + 571 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×783857162 = 12288640945665312, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56616 + ... + 57983.

Almost surely, 278385716 is an apocalyptic number.

78385716 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

78385716 is an abundant number, since it is smaller than the sum of its proper divisors (130186284).

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

78385716 is a wasteful number, since it uses less digits than its factorization.

78385716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114628 (or 114623 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 78385716 is about 8853.5708050481. The cubic root of 78385716 is about 427.9689979582.

The spelling of 78385716 in words is "seventy-eight million, three hundred eighty-five thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 114599 229198 343797 458396 687594 1031391 1375188 2062782 2177381 4125564 4354762 6532143 8709524 13064286 19596429 26128572 39192858 78385716