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78225456 = 2435397317
BaseRepresentation
bin1001010100110…
…10000000110000
312110012021011010
410222122000300
5130011203311
611432350520
71636622361
oct452320060
9173167133
1078225456
1140179a41
1222245440
131328b76a
14a563b68
156d02da6
hex4a9a030

78225456 has 80 divisors (see below), whose sum is σ = 208674144. Its totient is φ = 25239552.

The previous prime is 78225443. The next prime is 78225481. The reversal of 78225456 is 65452287.

It is a super-2 number, since 2×782254562 = 12238443932815872, which contains 22 as substring.

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, 246610 + ... + 246926.

Almost surely, 278225456 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 78225456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104337072).

78225456 is an abundant number, since it is smaller than the sum of its proper divisors (130448688).

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

78225456 is a wasteful number, since it uses less digits than its factorization.

78225456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 472 counting only the distinct ones).

The product of its digits is 134400, while the sum is 39.

The square root of 78225456 is about 8844.5155887703. The cubic root of 78225456 is about 427.6771373576.

The spelling of 78225456 in words is "seventy-eight million, two hundred twenty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 97 106 159 194 212 291 317 318 388 424 582 634 636 776 848 951 1164 1268 1272 1552 1902 2328 2536 2544 3804 4656 5072 5141 7608 10282 15216 15423 16801 20564 30749 30846 33602 41128 50403 61498 61692 67204 82256 92247 100806 122996 123384 134408 184494 201612 245992 246768 268816 368988 403224 491984 737976 806448 1475952 1629697 3259394 4889091 6518788 9778182 13037576 19556364 26075152 39112728 78225456