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78255216 = 243213172459
BaseRepresentation
bin1001010101000…
…01010001110000
312110020202222100
410222201101300
5130013131331
611433140400
71640105214
oct452412160
9173222870
1078255216
114019a336
122225a700
131329c180
14a570944
156d0bae6
hex4aa1470

78255216 has 120 divisors (see below), whose sum is σ = 249827760. Its totient is φ = 22652928.

The previous prime is 78255173. The next prime is 78255217. The reversal of 78255216 is 61255287.

It is a happy number.

It is a super-2 number, since 2×782552162 = 12247757662413312, 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 not an unprimeable number, because it can be changed into a prime (78255217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30595 + ... + 33053.

It is an arithmetic number, because the mean of its divisors is an integer number (2081898).

Almost surely, 278255216 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 78255216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124913880).

78255216 is an abundant number, since it is smaller than the sum of its proper divisors (171572544).

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

78255216 is a wasteful number, since it uses less digits than its factorization.

78255216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2503 (or 2494 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 78255216 is about 8846.1978273154. The cubic root of 78255216 is about 427.7313654762.

It can be divided in two parts, 7825 and 5216, that added together give a triangular number (13041 = T161).

The spelling of 78255216 in words is "seventy-eight million, two hundred fifty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 17 18 24 26 34 36 39 48 51 52 68 72 78 102 104 117 136 144 153 156 204 208 221 234 272 306 312 408 442 468 612 624 663 816 884 936 1224 1326 1768 1872 1989 2448 2459 2652 3536 3978 4918 5304 7377 7956 9836 10608 14754 15912 19672 22131 29508 31824 31967 39344 41803 44262 59016 63934 83606 88524 95901 118032 125409 127868 167212 177048 191802 250818 255736 287703 334424 354096 376227 383604 501636 511472 543439 575406 668848 752454 767208 1003272 1086878 1150812 1504908 1534416 1630317 2006544 2173756 2301624 3009816 3260634 4347512 4603248 4890951 6019632 6521268 8695024 9781902 13042536 19563804 26085072 39127608 78255216