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78340572 = 223219532161
BaseRepresentation
bin1001010101101…
…10000111011100
312110102010001200
410222312013130
5130023344242
611435035500
71640612112
oct452660734
9173363050
1078340572
1140248482
122229bb90
13132cbc8b
14a593ab2
156d2704c
hex4ab61dc

78340572 has 72 divisors (see below), whose sum is σ = 212481360. Its totient is φ = 24261120.

The previous prime is 78340541. The next prime is 78340597. The reversal of 78340572 is 27504387.

78340572 is a `hidden beast` number, since 7 + 83 + 4 + 0 + 572 = 666.

It is a super-2 number, since 2×783405722 = 12274490442574368, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35172 + ... + 37332.

It is an arithmetic number, because the mean of its divisors is an integer number (2951130).

Almost surely, 278340572 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 78340572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106240680).

78340572 is an abundant number, since it is smaller than the sum of its proper divisors (134140788).

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

78340572 is a wasteful number, since it uses less digits than its factorization.

78340572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2243 (or 2238 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 78340572 is about 8851.0209580590. The cubic root of 78340572 is about 427.8868233666.

The spelling of 78340572 in words is "seventy-eight million, three hundred forty thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 53 57 76 106 114 159 171 212 228 318 342 477 636 684 954 1007 1908 2014 2161 3021 4028 4322 6042 6483 8644 9063 12084 12966 18126 19449 25932 36252 38898 41059 77796 82118 114533 123177 164236 229066 246354 343599 369531 458132 492708 687198 739062 1030797 1374396 1478124 2061594 2176127 4123188 4352254 6528381 8704508 13056762 19585143 26113524 39170286 78340572