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460728372 = 223137141597
BaseRepresentation
bin11011011101100…
…010100000110100
31012002221102111210
4123131202200310
51420421301442
6113415001420
714263061256
oct3335424064
91162842453
10460728372
11217084055
1210a369270
13745b4c50
1445291cd6
152a6ac19c
hex1b762834

460728372 has 48 divisors (see below), whose sum is σ = 1174061952. Its totient is φ = 139762560.

The previous prime is 460728361. The next prime is 460728379. The reversal of 460728372 is 273827064.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 460728372.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460728379) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9723 + ... + 31874.

It is an arithmetic number, because the mean of its divisors is an integer number (24459624).

Almost surely, 2460728372 is an apocalyptic number.

It is an amenable number.

460728372 is an abundant number, since it is smaller than the sum of its proper divisors (713333580).

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

460728372 is a wasteful number, since it uses less digits than its factorization.

460728372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41688 (or 41686 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 460728372 is about 21464.5841329386. The cubic root of 460728372 is about 772.3514847347.

The spelling of 460728372 in words is "four hundred sixty million, seven hundred twenty-eight thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 71 78 142 156 213 284 426 852 923 1846 2769 3692 5538 11076 41597 83194 124791 166388 249582 499164 540761 1081522 1622283 2163044 2953387 3244566 5906774 6489132 8860161 11813548 17720322 35440644 38394031 76788062 115182093 153576124 230364186 460728372