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152399152 = 24171937797
BaseRepresentation
bin10010001010101…
…10110100110000
3101121202200100001
421011112310300
5303003233102
623042235344
73530241253
oct1105266460
9347680301
10152399152
1179030814
1243055b54
132575bc19
141635109a
15d5a5487
hex9156d30

152399152 has 80 divisors (see below), whose sum is σ = 338415840. Its totient is φ = 66023424.

The previous prime is 152399141. The next prime is 152399197. The reversal of 152399152 is 251993251.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190818 + ... + 191614.

It is an arithmetic number, because the mean of its divisors is an integer number (4230198).

Almost surely, 2152399152 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 152399152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169207920).

152399152 is an abundant number, since it is smaller than the sum of its proper divisors (186016688).

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

152399152 is a wasteful number, since it uses less digits than its factorization.

152399152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 872 counting only the distinct ones).

The product of its digits is 24300, while the sum is 37.

The square root of 152399152 is about 12345.0051437818. The cubic root of 152399152 is about 534.1470696115.

The spelling of 152399152 in words is "one hundred fifty-two million, three hundred ninety-nine thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 17 19 34 37 38 68 74 76 136 148 152 272 296 304 323 592 629 646 703 797 1258 1292 1406 1594 2516 2584 2812 3188 5032 5168 5624 6376 10064 11248 11951 12752 13549 15143 23902 27098 29489 30286 47804 54196 58978 60572 95608 108392 117956 121144 191216 216784 235912 242288 257431 471824 501313 514862 560291 1002626 1029724 1120582 2005252 2059448 2241164 4010504 4118896 4482328 8021008 8964656 9524947 19049894 38099788 76199576 152399152