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152317144 = 23717193829
BaseRepresentation
bin10010001010000…
…10110011011000
3101121121111211201
421011002303120
5302443122034
623040403544
73526450210
oct1105026330
9347544751
10152317144
1178a85141
12430165b4
13257307b5
141632d240
15d58b014
hex9142cd8

152317144 has 64 divisors (see below), whose sum is σ = 347803200. Its totient is φ = 61046784.

The previous prime is 152317141. The next prime is 152317147. The reversal of 152317144 is 441713251.

It is an interprime number because it is at equal distance from previous prime (152317141) and next prime (152317147).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152317141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183322 + ... + 184150.

It is an arithmetic number, because the mean of its divisors is an integer number (5434425).

Almost surely, 2152317144 is an apocalyptic number.

152317144 is a gapful number since it is divisible by the number (14) 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 152317144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173901600).

152317144 is an abundant number, since it is smaller than the sum of its proper divisors (195486056).

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

152317144 is a wasteful number, since it uses less digits than its factorization.

152317144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1048 counting only the distinct ones).

The product of its digits is 3360, while the sum is 28.

The square root of 152317144 is about 12341.6831915262. The cubic root of 152317144 is about 534.0512418857.

The spelling of 152317144 in words is "one hundred fifty-two million, three hundred seventeen thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 193 238 386 476 772 829 952 1351 1544 1658 2702 3281 3316 5404 5803 6562 6632 10808 11606 13124 14093 22967 23212 26248 28186 45934 46424 56372 91868 98651 112744 159997 183736 197302 319994 394604 639988 789208 1119979 1279976 2239958 2719949 4479916 5439898 8959832 10879796 19039643 21759592 38079286 76158572 152317144