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172262048 = 2572611801
BaseRepresentation
bin10100100010010…
…00001010100000
3110000010211002212
422101020022200
5323044341143
625032101252
74161126500
oct1221101240
9400124085
10172262048
1189268032
1249834828
13298c4b0a
1418c41a00
15101ca918
hexa4482a0

172262048 has 72 divisors (see below), whose sum is σ = 401200884. Its totient is φ = 72576000.

The previous prime is 172262039. The next prime is 172262087. The reversal of 172262048 is 840262271.

It can be written as a sum of positive squares in 2 ways, for example, as 131148304 + 41113744 = 11452^2 + 6412^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94748 + ... + 96548.

Almost surely, 2172262048 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 172262048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200600442).

172262048 is an abundant number, since it is smaller than the sum of its proper divisors (228938836).

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

172262048 is a wasteful number, since it uses less digits than its factorization.

172262048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1886 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 172262048 is about 13124.8637326260. The cubic root of 172262048 is about 556.4120610488.

The spelling of 172262048 in words is "one hundred seventy-two million, two hundred sixty-two thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 61 98 112 122 196 224 244 392 427 488 784 854 976 1568 1708 1801 1952 2989 3416 3602 5978 6832 7204 11956 12607 13664 14408 23912 25214 28816 47824 50428 57632 88249 95648 100856 109861 176498 201712 219722 352996 403424 439444 705992 769027 878888 1411984 1538054 1757776 2823968 3076108 3515552 5383189 6152216 10766378 12304432 21532756 24608864 43065512 86131024 172262048