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150655464 = 2334298017
BaseRepresentation
bin10001111101011…
…01000111101000
3101111111002110000
420332231013220
5302031433324
622541023000
73506356521
oct1076550750
9344432400
10150655464
117804a753
1242554a60
132529b35b
1416019848
15d35d9c9
hex8fad1e8

150655464 has 80 divisors (see below), whose sum is σ = 436580100. Its totient is φ = 48480768.

The previous prime is 150655459. The next prime is 150655469. The reversal of 150655464 is 464556051.

150655464 is a `hidden beast` number, since 1 + 50 + 65 + 546 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (150655459) and next prime (150655469).

It can be written as a sum of positive squares in 2 ways, for example, as 150258564 + 396900 = 12258^2 + 630^2 .

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 (150655469) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14784 + ... + 22800.

Almost surely, 2150655464 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 150655464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218290050).

150655464 is an abundant number, since it is smaller than the sum of its proper divisors (285924636).

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

150655464 is a wasteful number, since it uses less digits than its factorization.

150655464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8064 (or 8051 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 150655464 is about 12274.1787505315. The cubic root of 150655464 is about 532.1020871796.

The spelling of 150655464 in words is "one hundred fifty million, six hundred fifty-five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 81 87 108 116 162 174 216 232 261 324 348 522 648 696 783 1044 1566 2088 2349 3132 4698 6264 8017 9396 16034 18792 24051 32068 48102 64136 72153 96204 144306 192408 216459 232493 288612 432918 464986 577224 649377 697479 865836 929972 1298754 1394958 1731672 1859944 2092437 2597508 2789916 4184874 5195016 5579832 6277311 8369748 12554622 16739496 18831933 25109244 37663866 50218488 75327732 150655464