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151052532 = 223292771567
BaseRepresentation
bin10010000000011…
…10000011110100
3101112020021010020
421000032003310
5302132140112
622553325140
73512632251
oct1100160364
9345207106
10151052532
11782a1004
12427067b0
13253a9cc7
14160c0428
15d3db48c
hex900e0f4

151052532 has 48 divisors (see below), whose sum is σ = 366159360. Its totient is φ = 48408192.

The previous prime is 151052513. The next prime is 151052543. The reversal of 151052532 is 235250151.

It is a happy number.

It is a super-2 number, since 2×1510525322 = 45633734847222048, which contains 22 as substring.

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, 95613 + ... + 97179.

It is an arithmetic number, because the mean of its divisors is an integer number (7628320).

Almost surely, 2151052532 is an apocalyptic number.

151052532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151052532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183079680).

151052532 is an abundant number, since it is smaller than the sum of its proper divisors (215106828).

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

151052532 is a wasteful number, since it uses less digits than its factorization.

151052532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1880 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 151052532 is about 12290.3430383371. The cubic root of 151052532 is about 532.5691470523.

The spelling of 151052532 in words is "one hundred fifty-one million, fifty-two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 277 348 554 831 1108 1567 1662 3134 3324 4701 6268 8033 9402 16066 18804 24099 32132 45443 48198 90886 96396 136329 181772 272658 434059 545316 868118 1302177 1736236 2604354 5208708 12587711 25175422 37763133 50350844 75526266 151052532