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457480872 = 2334705989
BaseRepresentation
bin11011010001001…
…001101010101000
31011212211102210000
4123101021222220
51414103341442
6113221223000
714223344322
oct3321115250
91155742700
10457480872
11215266172
12109261a60
1373a18a54
1444a88612
152a269d4c
hex1b449aa8

457480872 has 40 divisors (see below), whose sum is σ = 1281371850. Its totient is φ = 152493408.

The previous prime is 457480871. The next prime is 457480889. The reversal of 457480872 is 278084754.

457480872 is a `hidden beast` number, since 4 + 574 + 8 + 0 + 8 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 288116676 + 169364196 = 16974^2 + 13014^2 .

It is not an unprimeable number, because it can be changed into a prime (457480871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 352347 + ... + 353642.

Almost surely, 2457480872 is an apocalyptic number.

It is an amenable number.

457480872 is an abundant number, since it is smaller than the sum of its proper divisors (823890978).

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

457480872 is a wasteful number, since it uses less digits than its factorization.

457480872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706007 (or 705994 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 457480872 is about 21388.8024910232. The cubic root of 457480872 is about 770.5325331717.

The spelling of 457480872 in words is "four hundred fifty-seven million, four hundred eighty thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 705989 1411978 2117967 2823956 4235934 5647912 6353901 8471868 12707802 16943736 19061703 25415604 38123406 50831208 57185109 76246812 114370218 152493624 228740436 457480872