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150575152 = 24713195443
BaseRepresentation
bin10001111100110…
…01100000110000
3101111100000021111
420332121200300
5302021401102
622535203104
73505603420
oct1076314060
9344300244
10150575152
1177aa5382
1242516494
1325270930
1415dd8480
15d344cd7
hex8f99830

150575152 has 80 divisors (see below), whose sum is σ = 378031360. Its totient is φ = 56422656.

The previous prime is 150575149. The next prime is 150575179. The reversal of 150575152 is 251575051.

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, 24943 + ... + 30385.

It is an arithmetic number, because the mean of its divisors is an integer number (4725392).

Almost surely, 2150575152 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 150575152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189015680).

150575152 is an abundant number, since it is smaller than the sum of its proper divisors (227456208).

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

150575152 is a wasteful number, since it uses less digits than its factorization.

150575152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5490 (or 5484 counting only the distinct ones).

The product of its (nonzero) digits is 8750, while the sum is 31.

The square root of 150575152 is about 12270.9067309633. The cubic root of 150575152 is about 532.0075186907.

The spelling of 150575152 in words is "one hundred fifty million, five hundred seventy-five thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 38 52 56 76 91 104 112 133 152 182 208 247 266 304 364 494 532 728 988 1064 1456 1729 1976 2128 3458 3952 5443 6916 10886 13832 21772 27664 38101 43544 70759 76202 87088 103417 141518 152404 206834 283036 304808 413668 495313 566072 609616 723919 827336 990626 1132144 1344421 1447838 1654672 1981252 2688842 2895676 3962504 5377684 5791352 7925008 9410947 10755368 11582704 18821894 21510736 37643788 75287576 150575152