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150785352 = 233212371693
BaseRepresentation
bin10001111110011…
…00110101001000
3101111201200121200
420333030311020
5302100112402
622543504200
73510440304
oct1077146510
9344650550
10150785352
11781292a3
12425b8060
1325315503
1416050d04
15d38721c
hex8fccd48

150785352 has 48 divisors (see below), whose sum is σ = 408948540. Its totient is φ = 50191488.

The previous prime is 150785321. The next prime is 150785357. The reversal of 150785352 is 253587051.

150785352 is a `hidden beast` number, since 1 + 50 + 78 + 535 + 2 = 666.

150785352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 149964516 + 820836 = 12246^2 + 906^2 .

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

It is not an unprimeable number, because it can be changed into a prime (150785357) 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, 88218 + ... + 89910.

Almost surely, 2150785352 is an apocalyptic number.

150785352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

150785352 is an abundant number, since it is smaller than the sum of its proper divisors (258163188).

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

150785352 is a wasteful number, since it uses less digits than its factorization.

150785352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2942 (or 2935 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 150785352 is about 12279.4687181490. The cubic root of 150785352 is about 532.2549609871.

The spelling of 150785352 in words is "one hundred fifty million, seven hundred eighty-five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1237 1693 2474 3386 3711 4948 5079 6772 7422 9896 10158 11133 13544 14844 15237 20316 22266 29688 30474 40632 44532 60948 89064 121896 2094241 4188482 6282723 8376964 12565446 16753928 18848169 25130892 37696338 50261784 75392676 150785352