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474132516 = 22311131716253
BaseRepresentation
bin11100010000101…
…011000000100100
31020001011102112120
4130100223000210
51432334220031
6115014145540
714515026354
oct3420530044
91201142476
10474132516
112236a9860
121129522b0
13772c90b0
1446d80b64
152b958a96
hex1c42b024

474132516 has 96 divisors (see below), whose sum is σ = 1376258688. Its totient is φ = 124815360.

The previous prime is 474132469. The next prime is 474132523. The reversal of 474132516 is 615231474.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21046 + ... + 37298.

It is an arithmetic number, because the mean of its divisors is an integer number (14336028).

Almost surely, 2474132516 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 474132516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688129344).

474132516 is an abundant number, since it is smaller than the sum of its proper divisors (902126172).

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

474132516 is a wasteful number, since it uses less digits than its factorization.

474132516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16301 (or 16299 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 474132516 is about 21774.5841751341. The cubic root of 474132516 is about 779.7701031872.

The spelling of 474132516 in words is "four hundred seventy-four million, one hundred thirty-two thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 11 12 13 17 22 26 33 34 39 44 51 52 66 68 78 102 132 143 156 187 204 221 286 374 429 442 561 572 663 748 858 884 1122 1326 1716 2244 2431 2652 4862 7293 9724 14586 16253 29172 32506 48759 65012 97518 178783 195036 211289 276301 357566 422578 536349 552602 633867 715132 828903 845156 1072698 1105204 1267734 1657806 2145396 2324179 2535468 3039311 3315612 3591913 4648358 6078622 6972537 7183826 9117933 9296716 10775739 12157244 13945074 14367652 18235866 21551478 27890148 36471732 39511043 43102956 79022086 118533129 158044172 237066258 474132516