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5083623432 = 23321933711027
BaseRepresentation
bin1001011110000000…
…11111000000001000
3111010021201211100100
410233000133000020
540402401422212
62200235405400
7236656041366
oct45700370010
914107654310
105083623432
112179633588
12b9a5b3860
1363028a304
1436322c636
151eb473bdc
hex12f01f008

5083623432 has 96 divisors (see below), whose sum is σ = 14537109600. Its totient is φ = 1600445952.

The previous prime is 5083623371. The next prime is 5083623463. The reversal of 5083623432 is 2343263805.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 455503 + ... + 466529.

It is an arithmetic number, because the mean of its divisors is an integer number (151428225).

Almost surely, 25083623432 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 5083623432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7268554800).

5083623432 is an abundant number, since it is smaller than the sum of its proper divisors (9453486168).

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

5083623432 is a wasteful number, since it uses less digits than its factorization.

5083623432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11395 (or 11388 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 5083623432 is about 71299.5331822025. The cubic root of 5083623432 is about 1719.4562270603.

The spelling of 5083623432 in words is "five billion, eighty-three million, six hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 337 342 456 674 684 1011 1348 1368 2022 2696 3033 4044 6066 6403 8088 11027 12132 12806 19209 22054 24264 25612 33081 38418 44108 51224 57627 66162 76836 88216 99243 115254 132324 153672 198486 209513 230508 264648 396972 419026 461016 628539 793944 838052 1257078 1676104 1885617 2514156 3716099 3771234 5028312 7432198 7542468 11148297 14864396 15084936 22296594 29728792 33444891 44593188 66889782 70605881 89186376 133779564 141211762 211817643 267559128 282423524 423635286 564847048 635452929 847270572 1270905858 1694541144 2541811716 5083623432