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152216832 = 283474217
BaseRepresentation
bin10010001001010…
…10010100000000
3101121102102020110
421010222110000
5302431414312
623034311320
73525551565
oct1104522400
9347372213
10152216832
1178a16839
1242b88540
13256c6c41
141630486c
15d56b43c
hex912a500

152216832 has 72 divisors (see below), whose sum is σ = 413836416. Its totient is φ = 49647616.

The previous prime is 152216821. The next prime is 152216833. The reversal of 152216832 is 238612251.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 152216832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152216833) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33988 + ... + 38204.

It is an arithmetic number, because the mean of its divisors is an integer number (5747728).

Almost surely, 2152216832 is an apocalyptic number.

152216832 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 152216832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206918208).

152216832 is an abundant number, since it is smaller than the sum of its proper divisors (261619584).

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

152216832 is an equidigital number, since it uses as much as digits as its factorization.

152216832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4283 (or 4269 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 152216832 is about 12337.6185708588. The cubic root of 152216832 is about 533.9339788484.

The spelling of 152216832 in words is "one hundred fifty-two million, two hundred sixteen thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 256 282 376 384 564 752 768 1128 1504 2256 3008 4217 4512 6016 8434 9024 12032 12651 16868 18048 25302 33736 36096 50604 67472 101208 134944 198199 202416 269888 396398 404832 539776 594597 792796 809664 1079552 1189194 1585592 1619328 2378388 3171184 3238656 4756776 6342368 9513552 12684736 19027104 25369472 38054208 50738944 76108416 152216832