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78137072 = 24132316333
BaseRepresentation
bin1001010100001…
…00011011110000
312110000202220122
410222010123300
5130000341242
611430425412
71636103606
oct452043360
9173022818
1078137072
11401195a2
1222202268
131325a470
14a53d876
156cd6ad2
hex4a846f0

78137072 has 40 divisors (see below), whose sum is σ = 170134944. Its totient is φ = 34493184.

The previous prime is 78137069. The next prime is 78137093. The reversal of 78137072 is 27073187.

It is a super-2 number, since 2×781370722 = 12210804041466368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3383 + ... + 12950.

Almost surely, 278137072 is an apocalyptic number.

It is an amenable number.

78137072 is an abundant number, since it is smaller than the sum of its proper divisors (91997872).

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

78137072 is a wasteful number, since it uses less digits than its factorization.

78137072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16377 (or 16371 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 35.

The square root of 78137072 is about 8839.5176338984. The cubic root of 78137072 is about 427.5160045534.

The spelling of 78137072 in words is "seventy-eight million, one hundred thirty-seven thousand, seventy-two".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 184 208 299 368 598 1196 2392 4784 16333 32666 65332 130664 212329 261328 375659 424658 751318 849316 1502636 1698632 3005272 3397264 4883567 6010544 9767134 19534268 39068536 78137072