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150756864 = 293611609
BaseRepresentation
bin10001111110001…
…01111000000000
3101111200020112120
420333011320000
5302043204424
622543124240
73510261246
oct1077057000
9344606476
10150756864
1178109955
12425a3680
132530555b
1416044796
15d37da79
hex8fc5e00

150756864 has 80 divisors (see below), whose sum is σ = 408463440. Its totient is φ = 49397760.

The previous prime is 150756841. The next prime is 150756869. The reversal of 150756864 is 468657051.

It is a super-2 number, since 2×1507568642 = 45455264086228992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150756869) 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, 92892 + ... + 94500.

It is an arithmetic number, because the mean of its divisors is an integer number (5105793).

Almost surely, 2150756864 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 150756864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204231720).

150756864 is an abundant number, since it is smaller than the sum of its proper divisors (257706576).

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

150756864 is an equidigital number, since it uses as much as digits as its factorization.

150756864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691 (or 1675 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 150756864 is about 12278.3086783156. The cubic root of 150756864 is about 532.2214390874.

The spelling of 150756864 in words is "one hundred fifty million, seven hundred fifty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 256 366 384 488 512 732 768 976 1464 1536 1609 1952 2928 3218 3904 4827 5856 6436 7808 9654 11712 12872 15616 19308 23424 25744 31232 38616 46848 51488 77232 93696 98149 102976 154464 196298 205952 294447 308928 392596 411904 588894 617856 785192 823808 1177788 1235712 1570384 2355576 2471424 3140768 4711152 6281536 9422304 12563072 18844608 25126144 37689216 50252288 75378432 150756864