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78995328 = 2731712101
BaseRepresentation
bin1001011010101…
…01111110000000
312111122101012220
410231111332000
5130210322303
611501051040
71646310036
oct455257600
9174571186
1078995328
11406553a5
1222556a80
131349acc9
14a6c4556
156e06053
hex4b55f80

78995328 has 64 divisors (see below), whose sum is σ = 222192720. Its totient is φ = 24780800.

The previous prime is 78995321. The next prime is 78995341. The reversal of 78995328 is 82359987.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78995321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 478 + ... + 12578.

Almost surely, 278995328 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 78995328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111096360).

78995328 is an abundant number, since it is smaller than the sum of its proper divisors (143197392).

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

78995328 is a wasteful number, since it uses less digits than its factorization.

78995328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12135 (or 12123 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 51.

The square root of 78995328 is about 8887.9315928961. The cubic root of 78995328 is about 429.0755839677.

The spelling of 78995328 in words is "seventy-eight million, nine hundred ninety-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1632 2176 3264 6528 12101 24202 36303 48404 72606 96808 145212 193616 205717 290424 387232 411434 580848 617151 774464 822868 1161696 1234302 1548928 1645736 2323392 2468604 3291472 4646784 4937208 6582944 9874416 13165888 19748832 26331776 39497664 78995328