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78426072 = 23321957329
BaseRepresentation
bin1001010110010…
…10111111011000
312110120110100100
410223022333120
5130034113242
611440535400
71641416304
oct453127730
9173513310
1078426072
11402a673a
1222321560
131332bb7a
14a5b6d04
156d4254c
hex4acafd8

78426072 has 48 divisors (see below), whose sum is σ = 223587000. Its totient is φ = 24765696.

The previous prime is 78426043. The next prime is 78426077. The reversal of 78426072 is 27062487.

78426072 is a `hidden beast` number, since 7 + 8 + 42 + 607 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78426077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27297 + ... + 30032.

Almost surely, 278426072 is an apocalyptic number.

78426072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

78426072 is an abundant number, since it is smaller than the sum of its proper divisors (145160928).

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

78426072 is a wasteful number, since it uses less digits than its factorization.

78426072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57360 (or 57353 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 78426072 is about 8855.8495922187. The cubic root of 78426072 is about 428.0424303584.

The spelling of 78426072 in words is "seventy-eight million, four hundred twenty-six thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 57329 114658 171987 229316 343974 458632 515961 687948 1031922 1089251 1375896 2063844 2178502 3267753 4127688 4357004 6535506 8714008 9803259 13071012 19606518 26142024 39213036 78426072