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152411252 = 22731533313
BaseRepresentation
bin10010001010110…
…01110001110100
3101121210021221012
421011121301310
5303004130002
623042411352
73530321450
oct1105316164
9347707835
10152411252
1179039914
1243060b58
1325764596
1416355660
15d5a8d52
hex9159c74

152411252 has 48 divisors (see below), whose sum is σ = 320689152. Its totient is φ = 62000640.

The previous prime is 152411249. The next prime is 152411291. The reversal of 152411252 is 252114251.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44348 + ... + 47660.

It is an arithmetic number, because the mean of its divisors is an integer number (6681024).

Almost surely, 2152411252 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 152411252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160344576).

152411252 is an abundant number, since it is smaller than the sum of its proper divisors (168277900).

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

152411252 is a wasteful number, since it uses less digits than its factorization.

152411252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3408 (or 3406 counting only the distinct ones).

The product of its digits is 800, while the sum is 23.

The square root of 152411252 is about 12345.4952108046. The cubic root of 152411252 is about 534.1612057542.

The spelling of 152411252 in words is "one hundred fifty-two million, four hundred eleven thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 28 31 53 62 106 124 212 217 371 434 742 868 1484 1643 3286 3313 6572 6626 11501 13252 23002 23191 46004 46382 92764 102703 175589 205406 351178 410812 702356 718921 1229123 1437842 2458246 2875684 4916492 5443259 10886518 21773036 38102813 76205626 152411252