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152666352 = 24321318093
BaseRepresentation
bin10010001100110…
…00000011110000
3101122021020212100
421012120003300
5303040310402
623052100400
73532433256
oct1106300360
9348236770
10152666352
11791a3543
1243164700
1325823727
14163c05d6
15d60971c
hex91980f0

152666352 has 60 divisors (see below), whose sum is σ = 430568424. Its totient is φ = 50494080.

The previous prime is 152666333. The next prime is 152666359. The reversal of 152666352 is 253666251.

It is a happy number.

152666352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152666359) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14818 + ... + 22910.

Almost surely, 2152666352 is an apocalyptic number.

152666352 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 152666352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215284212).

152666352 is an abundant number, since it is smaller than the sum of its proper divisors (277902072).

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

152666352 is a wasteful number, since it uses less digits than its factorization.

152666352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8238 (or 8229 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 152666352 is about 12355.8225950359. The cubic root of 152666352 is about 534.4590590244.

The spelling of 152666352 in words is "one hundred fifty-two million, six hundred sixty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 131 144 262 393 524 786 1048 1179 1572 2096 2358 3144 4716 6288 8093 9432 16186 18864 24279 32372 48558 64744 72837 97116 129488 145674 194232 291348 388464 582696 1060183 1165392 2120366 3180549 4240732 6361098 8481464 9541647 12722196 16962928 19083294 25444392 38166588 50888784 76333176 152666352