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79230528 = 2633133527
BaseRepresentation
bin1001011100011…
…11011001000000
312112002022212000
410232033121000
5130240334103
611510104000
71651306536
oct456173100
9175068760
1079230528
11407a6083
122264b000
1313551090
14a746156
156e50aa3
hex4b8f640

79230528 has 112 divisors (see below), whose sum is σ = 250911360. Its totient is φ = 24371712.

The previous prime is 79230527. The next prime is 79230539. The reversal of 79230528 is 82503297.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 79230492 and 79230501.

It is not an unprimeable number, because it can be changed into a prime (79230527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20701 + ... + 24227.

It is an arithmetic number, because the mean of its divisors is an integer number (2240280).

Almost surely, 279230528 is an apocalyptic number.

79230528 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79230528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125455680).

79230528 is an abundant number, since it is smaller than the sum of its proper divisors (171680832).

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

79230528 is a wasteful number, since it uses less digits than its factorization.

79230528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3561 (or 3545 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 79230528 is about 8901.1531837173. The cubic root of 79230528 is about 429.5010039987.

The spelling of 79230528 in words is "seventy-nine million, two hundred thirty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 288 312 351 416 432 468 576 624 702 832 864 936 1248 1404 1728 1872 2496 2808 3527 3744 5616 7054 7488 10581 11232 14108 21162 22464 28216 31743 42324 45851 56432 63486 84648 91702 95229 112864 126972 137553 169296 183404 190458 225728 253944 275106 338592 366808 380916 412659 507888 550212 677184 733616 761832 825318 1015776 1100424 1237977 1467232 1523664 1650636 2031552 2200848 2475954 2934464 3047328 3301272 4401696 4951908 6094656 6602544 8803392 9903816 13205088 19807632 26410176 39615264 79230528