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471090152 = 2313291091433
BaseRepresentation
bin11100000101000…
…100001111101000
31012211102212012102
4130011010033220
51431044341102
6114425032532
714450125451
oct3405041750
91184385172
10471090152
11221a11005
12111925748
13767a2390
14467cc128
152b557402
hex1c1443e8

471090152 has 64 divisors (see below), whose sum is σ = 993762000. Its totient is φ = 207857664.

The previous prime is 471090143. The next prime is 471090227. The reversal of 471090152 is 251090174.

It can be written as a sum of positive squares in 8 ways, for example, as 281367076 + 189723076 = 16774^2 + 13774^2 .

It is a super-2 number, since 2×4710901522 = 443851862622766208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

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, 328028 + ... + 329460.

Almost surely, 2471090152 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 471090152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496881000).

471090152 is an abundant number, since it is smaller than the sum of its proper divisors (522671848).

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

471090152 is a wasteful number, since it uses less digits than its factorization.

471090152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1590 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 471090152 is about 21704.6113072775. The cubic root of 471090152 is about 778.0986739415.

The spelling of 471090152 in words is "four hundred seventy-one million, ninety thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 26 29 52 58 104 109 116 218 232 377 436 754 872 1417 1433 1508 2834 2866 3016 3161 5668 5732 6322 11336 11464 12644 18629 25288 37258 41093 41557 74516 82186 83114 149032 156197 164372 166228 312394 328744 332456 540241 624788 1080482 1249576 2030561 2160964 4061122 4321928 4529713 8122244 9059426 16244488 18118852 36237704 58886269 117772538 235545076 471090152