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428625180 = 2232519125329
BaseRepresentation
bin11001100011000…
…100110100011100
31002212112102012200
4121203010310130
51334212001210
6110310531500
713423153044
oct3143046434
91085472180
10428625180
111aaa47495
12bb666b90
136aa54889
1440cd6724
152796a0c0
hex198c4d1c

428625180 has 72 divisors (see below), whose sum is σ = 1368603600. Its totient is φ = 108283392.

The previous prime is 428625179. The next prime is 428625181. The reversal of 428625180 is 81526824.

428625180 is a `hidden beast` number, since 4 + 28 + 625 + 1 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (428625179) and next prime (428625181).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428625181) 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 23 ways as a sum of consecutive naturals, for example, 59245 + ... + 66084.

Almost surely, 2428625180 is an apocalyptic number.

It is an amenable number.

428625180 is an abundant number, since it is smaller than the sum of its proper divisors (939978420).

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

428625180 is a wasteful number, since it uses less digits than its factorization.

428625180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125363 (or 125358 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 428625180 is about 20703.2649599043. The cubic root of 428625180 is about 753.9789598409.

The spelling of 428625180 in words is "four hundred twenty-eight million, six hundred twenty-five thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 125329 250658 375987 501316 626645 751974 1127961 1253290 1503948 1879935 2255922 2381251 2506580 3759870 4511844 4762502 5639805 7143753 7519740 9525004 11279610 11906255 14287506 21431259 22559220 23812510 28575012 35718765 42862518 47625020 71437530 85725036 107156295 142875060 214312590 428625180