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152666752 = 2772101241
BaseRepresentation
bin10010001100110…
…00001010000000
3101122021021102011
421012120022000
5303040314002
623052102304
73532434400
oct1106301200
9348237364
10152666752
11791a3877
1243164994
1325823974
14163c0800
15d6098d7
hex9198280

152666752 has 96 divisors (see below), whose sum is σ = 358781940. Its totient is φ = 64512000.

The previous prime is 152666719. The next prime is 152666753. The reversal of 152666752 is 257666251.

It can be written as a sum of positive squares in 2 ways, for example, as 126697536 + 25969216 = 11256^2 + 5096^2 .

It is not an unprimeable number, because it can be changed into a prime (152666753) 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, 633352 + ... + 633592.

Almost surely, 2152666752 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 152666752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179390970).

152666752 is an abundant number, since it is smaller than the sum of its proper divisors (206115188).

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

152666752 is a wasteful number, since it uses less digits than its factorization.

152666752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 351 counting only the distinct ones).

The product of its digits is 151200, while the sum is 40.

The square root of 152666752 is about 12355.8387817258. The cubic root of 152666752 is about 534.4595258014.

The spelling of 152666752 in words is "one hundred fifty-two million, six hundred sixty-six thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 101 112 128 196 202 224 241 392 404 448 482 707 784 808 896 964 1414 1568 1616 1687 1928 2828 3136 3232 3374 3856 4949 5656 6272 6464 6748 7712 9898 11312 11809 12928 13496 15424 19796 22624 23618 24341 26992 30848 39592 45248 47236 48682 53984 79184 90496 94472 97364 107968 158368 170387 188944 194728 215936 316736 340774 377888 389456 633472 681548 755776 778912 1192709 1363096 1511552 1557824 2385418 2726192 3115648 4770836 5452384 9541672 10904768 19083344 21809536 38166688 76333376 152666752