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152057232 = 243223311481
BaseRepresentation
bin10010001000000…
…11010110010000
3101121010022022100
421010003112100
5302411312412
623031040400
73524315355
oct1104032620
9347108270
10152057232
1178917938
1242b10100
132566c3c2
14162a262c
15d538edc
hex9103590

152057232 has 120 divisors (see below), whose sum is σ = 458684928. Its totient is φ = 46886400.

The previous prime is 152057189. The next prime is 152057251. The reversal of 152057232 is 232750251.

It is a junction number, because it is equal to n+sod(n) for n = 152057196 and 152057205.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101932 + ... + 103412.

Almost surely, 2152057232 is an apocalyptic number.

152057232 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 152057232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229342464).

152057232 is an abundant number, since it is smaller than the sum of its proper divisors (306627696).

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

152057232 is a wasteful number, since it uses less digits than its factorization.

152057232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 152057232 is about 12331.1488515872. The cubic root of 152057232 is about 533.7473029022.

The spelling of 152057232 in words is "one hundred fifty-two million, fifty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 31 36 46 48 62 69 72 92 93 124 138 144 184 186 207 248 276 279 368 372 414 496 552 558 713 744 828 1104 1116 1426 1481 1488 1656 2139 2232 2852 2962 3312 4278 4443 4464 5704 5924 6417 8556 8886 11408 11848 12834 13329 17112 17772 23696 25668 26658 34063 34224 35544 45911 51336 53316 68126 71088 91822 102189 102672 106632 136252 137733 183644 204378 213264 272504 275466 306567 367288 408756 413199 545008 550932 613134 734576 817512 826398 1055953 1101864 1226268 1635024 1652796 2111906 2203728 2452536 3167859 3305592 4223812 4905072 6335718 6611184 8447624 9503577 12671436 16895248 19007154 25342872 38014308 50685744 76028616 152057232