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150725632 = 2101961127
BaseRepresentation
bin10001111101111…
…10010000000000
3101111121122200211
420332332100000
5302041210012
622542323504
73510101221
oct1076762000
9344548624
10150725632
1178098442
1242589594
13252c4285
1416037248
15d3746a7
hex8fbe400

150725632 has 88 divisors (see below), whose sum is σ = 324899840. Its totient is φ = 69672960.

The previous prime is 150725591. The next prime is 150725639. The reversal of 150725632 is 236527051.

It is a super-2 number, since 2×1507256322 = 45436432283598848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 150725594 and 150725603.

It is not an unprimeable number, because it can be changed into a prime (150725639) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1186753 + ... + 1186879.

Almost surely, 2150725632 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 150725632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162449920).

150725632 is an abundant number, since it is smaller than the sum of its proper divisors (174174208).

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

150725632 is a wasteful number, since it uses less digits than its factorization.

150725632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 31.

The square root of 150725632 is about 12277.0367760303. The cubic root of 150725632 is about 532.1846834631.

The spelling of 150725632 in words is "one hundred fifty million, seven hundred twenty-five thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 19 32 38 61 64 76 122 127 128 152 244 254 256 304 488 508 512 608 976 1016 1024 1159 1216 1952 2032 2318 2413 2432 3904 4064 4636 4826 4864 7747 7808 8128 9272 9652 9728 15494 15616 16256 18544 19304 19456 30988 31232 32512 37088 38608 61976 62464 65024 74176 77216 123952 130048 147193 148352 154432 247904 294386 296704 308864 495808 588772 593408 617728 991616 1177544 1186816 1235456 1983232 2355088 2470912 3966464 4710176 7932928 9420352 18840704 37681408 75362816 150725632