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460794852 = 22337609517
BaseRepresentation
bin11011011101110…
…010101111100100
31012010001210201000
4123131302233210
51420430413402
6113420233300
714263456140
oct3335625744
91163053630
10460794852
11217119aa1
1210a39b830
137460929b
14452ac220
152a6c1c1c
hex1b772be4

460794852 has 48 divisors (see below), whose sum is σ = 1365320320. Its totient is φ = 131655456.

The previous prime is 460794839. The next prime is 460794853. The reversal of 460794852 is 258497064.

It is a happy number.

It is a super-3 number, since 3×4607948523 (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 460794798 and 460794807.

It is not an unprimeable number, because it can be changed into a prime (460794853) 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, 304003 + ... + 305514.

Almost surely, 2460794852 is an apocalyptic number.

460794852 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

460794852 is an abundant number, since it is smaller than the sum of its proper divisors (904525468).

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

460794852 is a wasteful number, since it uses less digits than its factorization.

460794852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609537 (or 609529 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 460794852 is about 21466.1326745178. The cubic root of 460794852 is about 772.3886313200.

The spelling of 460794852 in words is "four hundred sixty million, seven hundred ninety-four thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 609517 1219034 1828551 2438068 3657102 4266619 5485653 7314204 8533238 10971306 12799857 16456959 17066476 21942612 25599714 32913918 38399571 51199428 65827836 76799142 115198713 153598284 230397426 460794852