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150056192 = 2811134099
BaseRepresentation
bin10001111000110…
…10110100000000
3101110100122101202
420330122310000
5301403244232
622520120332
73501312416
oct1074326400
9343318352
10150056192
1177780490
12423060a8
132511b660
1415d012b6
15d291162
hex8f1ad00

150056192 has 72 divisors (see below), whose sum is σ = 351976800. Its totient is φ = 62945280.

The previous prime is 150056191. The next prime is 150056233. The reversal of 150056192 is 291650051.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150056191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34559 + ... + 38657.

Almost surely, 2150056192 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 150056192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175988400).

150056192 is an abundant number, since it is smaller than the sum of its proper divisors (201920608).

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

150056192 is a wasteful number, since it uses less digits than its factorization.

150056192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4139 (or 4125 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 29.

The square root of 150056192 is about 12249.7425279065. The cubic root of 150056192 is about 531.3956239863.

The spelling of 150056192 in words is "one hundred fifty million, fifty-six thousand, one hundred ninety-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 176 208 256 286 352 416 572 704 832 1144 1408 1664 2288 2816 3328 4099 4576 8198 9152 16396 18304 32792 36608 45089 53287 65584 90178 106574 131168 180356 213148 262336 360712 426296 524672 586157 721424 852592 1049344 1172314 1442848 1705184 2344628 2885696 3410368 4689256 5771392 6820736 9378512 11542784 13641472 18757024 37514048 75028096 150056192