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150293568 = 2637310723
BaseRepresentation
bin10001111010101…
…00110001000000
3101110210201000110
420331110301000
5301433343233
622525151320
73503321445
oct1075246100
9343721013
10150293568
1177922867
12423bb540
13251a2709
1415d639cc
15d2db663
hex8f54c40

150293568 has 56 divisors (see below), whose sum is σ = 403136608. Its totient is φ = 49406976.

The previous prime is 150293567. The next prime is 150293603. The reversal of 150293568 is 865392051.

It is not an unprimeable number, because it can be changed into a prime (150293567) 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, 8655 + ... + 19377.

It is an arithmetic number, because the mean of its divisors is an integer number (7198868).

Almost surely, 2150293568 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 150293568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201568304).

150293568 is an abundant number, since it is smaller than the sum of its proper divisors (252843040).

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

150293568 is a wasteful number, since it uses less digits than its factorization.

150293568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10811 (or 10801 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 150293568 is about 12259.4277191066. The cubic root of 150293568 is about 531.6756837644.

The spelling of 150293568 in words is "one hundred fifty million, two hundred ninety-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 146 192 219 292 438 584 876 1168 1752 2336 3504 4672 7008 10723 14016 21446 32169 42892 64338 85784 128676 171568 257352 343136 514704 686272 782779 1029408 1565558 2058816 2348337 3131116 4696674 6262232 9393348 12524464 18786696 25048928 37573392 50097856 75146784 150293568