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150972408 = 23325339563
BaseRepresentation
bin10001111111110…
…10011111111000
3101112002012012200
420333322133320
5302122104113
622551510200
73512146536
oct1077723770
9345065180
10150972408
1178246894
1242688360
132537c6b2
141609d156
15d3c2873
hex8ffa7f8

150972408 has 48 divisors (see below), whose sum is σ = 416608920. Its totient is φ = 49373376.

The previous prime is 150972389. The next prime is 150972439. The reversal of 150972408 is 804279051.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15966 + ... + 23597.

Almost surely, 2150972408 is an apocalyptic number.

150972408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

150972408 is an abundant number, since it is smaller than the sum of its proper divisors (265636512).

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

150972408 is a wasteful number, since it uses less digits than its factorization.

150972408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39628 (or 39621 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 150972408 is about 12287.0829735947. The cubic root of 150972408 is about 532.4749654302.

The spelling of 150972408 in words is "one hundred fifty million, nine hundred seventy-two thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 3816 39563 79126 118689 158252 237378 316504 356067 474756 712134 949512 1424268 2096839 2848536 4193678 6290517 8387356 12581034 16774712 18871551 25162068 37743102 50324136 75486204 150972408