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78068928 = 2637292003
BaseRepresentation
bin1001010011100…
…11110011000000
312102220022102210
410221303303000
5124441201203
611425142120
71635401130
oct451636300
9172808383
1078068928
1140082383
122218a940
1313235442
14a522ac0
156cc1803
hex4a73cc0

78068928 has 112 divisors (see below), whose sum is σ = 244327680. Its totient is φ = 21525504.

The previous prime is 78068917. The next prime is 78068983. The reversal of 78068928 is 82986087.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37975 + ... + 39977.

Almost surely, 278068928 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 78068928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122163840).

78068928 is an abundant number, since it is smaller than the sum of its proper divisors (166258752).

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

78068928 is a wasteful number, since it uses less digits than its factorization.

78068928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2054 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 78068928 is about 8835.6622841754. The cubic root of 78068928 is about 427.3916883020.

The spelling of 78068928 in words is "seventy-eight million, sixty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 168 174 192 203 224 232 336 348 406 448 464 609 672 696 812 928 1218 1344 1392 1624 1856 2003 2436 2784 3248 4006 4872 5568 6009 6496 8012 9744 12018 12992 14021 16024 19488 24036 28042 32048 38976 42063 48072 56084 58087 64096 84126 96144 112168 116174 128192 168252 174261 192288 224336 232348 336504 348522 384576 406609 448672 464696 673008 697044 813218 897344 929392 1219827 1346016 1394088 1626436 1858784 2439654 2692032 2788176 3252872 3717568 4879308 5576352 6505744 9758616 11152704 13011488 19517232 26022976 39034464 78068928