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156241152 = 2832173989
BaseRepresentation
bin10010101000000…
…00110100000000
3101212222212120100
421110000310000
5304444204102
623300442400
73605012364
oct1124006400
9355885510
10156241152
1180215321
12443a9400
13264a58b2
1416a712a4
15dab3a1c
hex9500d00

156241152 has 108 divisors (see below), whose sum is σ = 477100260. Its totient is φ = 49004544.

The previous prime is 156241133. The next prime is 156241213. The reversal of 156241152 is 251142651.

It can be written as a sum of positive squares in 2 ways, for example, as 98724096 + 57517056 = 9936^2 + 7584^2 .

It is a super-2 number, since 2×1562411522 = 48822595156574208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37174 + ... + 41162.

It is an arithmetic number, because the mean of its divisors is an integer number (4417595).

Almost surely, 2156241152 is an apocalyptic number.

156241152 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 156241152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238550130).

156241152 is an abundant number, since it is smaller than the sum of its proper divisors (320859108).

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

156241152 is a wasteful number, since it uses less digits than its factorization.

156241152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4028 (or 4011 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 156241152 is about 12499.6460749895. The cubic root of 156241152 is about 538.5985056824.

The spelling of 156241152 in words is "one hundred fifty-six million, two hundred forty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 544 576 612 768 816 1088 1152 1224 1632 2176 2304 2448 3264 3989 4352 4896 6528 7978 9792 11967 13056 15956 19584 23934 31912 35901 39168 47868 63824 67813 71802 95736 127648 135626 143604 191472 203439 255296 271252 287208 382944 406878 510592 542504 574416 610317 765888 813756 1021184 1085008 1148832 1220634 1531776 1627512 2170016 2297664 2441268 3063552 3255024 4340032 4595328 4882536 6510048 8680064 9190656 9765072 13020096 17360128 19530144 26040192 39060288 52080384 78120576 156241152