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460450172 = 227134130853
BaseRepresentation
bin11011011100011…
…110100101111100
31012002102021220002
4123130132211330
51420333401142
6113405013432
714260522220
oct3334364574
91162367802
10460450172
11216a04036
1210a254278
1374518430
144521c780
152a654a32
hex1b71e97c

460450172 has 48 divisors (see below), whose sum is σ = 1015960512. Its totient is φ = 177707520.

The previous prime is 460450153. The next prime is 460450241. The reversal of 460450172 is 271054064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 503 + ... + 30350.

It is an arithmetic number, because the mean of its divisors is an integer number (21165844).

Almost surely, 2460450172 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 460450172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507980256).

460450172 is an abundant number, since it is smaller than the sum of its proper divisors (555510340).

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

460450172 is a wasteful number, since it uses less digits than its factorization.

460450172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30918 (or 30916 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 460450172 is about 21458.1027120293. The cubic root of 460450172 is about 772.1959980038.

The spelling of 460450172 in words is "four hundred sixty million, four hundred fifty thousand, one hundred seventy-two".

Divisors: 1 2 4 7 13 14 26 28 41 52 82 91 164 182 287 364 533 574 1066 1148 2132 3731 7462 14924 30853 61706 123412 215971 401089 431942 802178 863884 1264973 1604356 2529946 2807623 5059892 5615246 8854811 11230492 16444649 17709622 32889298 35419244 65778596 115112543 230225086 460450172