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78875232 = 2531983521
BaseRepresentation
bin1001011001110…
…00101001100000
312111102021110220
410230320221200
5130143001412
611454323040
71645266642
oct454705140
9174367426
1078875232
1140583147
12224b9480
1313458447
14a692892
156dd068c
hex4b38a60

78875232 has 96 divisors (see below), whose sum is σ = 220993920. Its totient is φ = 24560640.

The previous prime is 78875227. The next prime is 78875233. The reversal of 78875232 is 23257887.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78875233) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 151132 + ... + 151652.

It is an arithmetic number, because the mean of its divisors is an integer number (2302020).

Almost surely, 278875232 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 78875232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110496960).

78875232 is an abundant number, since it is smaller than the sum of its proper divisors (142118688).

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

78875232 is a wasteful number, since it uses less digits than its factorization.

78875232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 628 counting only the distinct ones).

The product of its digits is 188160, while the sum is 42.

The square root of 78875232 is about 8881.1728955133. The cubic root of 78875232 is about 428.8580335615.

The spelling of 78875232 in words is "seventy-eight million, eight hundred seventy-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 83 96 114 152 166 228 249 304 332 456 498 521 608 664 912 996 1042 1328 1563 1577 1824 1992 2084 2656 3126 3154 3984 4168 4731 6252 6308 7968 8336 9462 9899 12504 12616 16672 18924 19798 25008 25232 29697 37848 39596 43243 50016 50464 59394 75696 79192 86486 118788 129729 151392 158384 172972 237576 259458 316768 345944 475152 518916 691888 821617 950304 1037832 1383776 1643234 2075664 2464851 3286468 4151328 4929702 6572936 9859404 13145872 19718808 26291744 39437616 78875232