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152256 = 2631361
BaseRepresentation
bin100101001011000000
321201212010
4211023000
514333011
63132520
71202616
oct451300
9251763
10152256
11a4435
1274140
13543c0
143d6b6
15301a6
hex252c0

152256 has 56 divisors (see below), whose sum is σ = 440944. Its totient is φ = 46080.

The previous prime is 152249. The next prime is 152267. The reversal of 152256 is 652251.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 152256.

It is an unprimeable number.

152256 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2466 + ... + 2526.

It is an arithmetic number, because the mean of its divisors is an integer number (7874).

2152256 is an apocalyptic number.

152256 is a gapful number since it is divisible by the number (16) 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 152256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220472).

152256 is an abundant number, since it is smaller than the sum of its proper divisors (288688).

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

152256 is a wasteful number, since it uses less digits than its factorization.

152256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 79 counting only the distinct ones).

The product of its digits is 600, while the sum is 21.

The square root of 152256 is about 390.1999487442. The cubic root of 152256 is about 53.3979771709.

The spelling of 152256 in words is "one hundred fifty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 61 64 78 96 104 122 156 183 192 208 244 312 366 416 488 624 732 793 832 976 1248 1464 1586 1952 2379 2496 2928 3172 3904 4758 5856 6344 9516 11712 12688 19032 25376 38064 50752 76128 152256