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84860944 = 2474472
BaseRepresentation
bin1010000111011…
…10000000010000
312220200101022221
411003232000100
5133211022234
612230510424
72050210000
oct503560020
9186611287
1084860944
11439a1313
1224505414
1314772a9c
14b3b0000
1576b3eb4
hex50ee010

84860944 has 75 divisors (see below), whose sum is σ = 195977567. Its totient is φ = 35595168.

The previous prime is 84860933. The next prime is 84860959. The reversal of 84860944 is 44906848.

It is a happy number.

The square root of 84860944 is 9212.

It is a perfect power (a square), and thus also a powerful number.

It is a super-3 number, since 3×848609443 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 84860944.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1805529 + ... + 1805575.

Almost surely, 284860944 is an apocalyptic number.

84860944 is the 9212-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84860944

84860944 is an abundant number, since it is smaller than the sum of its proper divisors (111116623).

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

84860944 is an frugal number, since it uses more digits than its factorization.

84860944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The cubic root of 84860944 is about 439.4430694666.

The spelling of 84860944 in words is "eighty-four million, eight hundred sixty thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 47 49 56 94 98 112 188 196 329 343 376 392 658 686 752 784 1316 1372 2209 2303 2401 2632 2744 4418 4606 4802 5264 5488 8836 9212 9604 15463 16121 17672 18424 19208 30926 32242 35344 36848 38416 61852 64484 108241 112847 123704 128968 216482 225694 247408 257936 432964 451388 757687 865928 902776 1515374 1731856 1805552 3030748 5303809 6061496 10607618 12122992 21215236 42430472 84860944