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150926328 = 233673697
BaseRepresentation
bin10001111111011…
…11001111111000
3101111222212000000
420333233033320
5302114120303
622550513000
73511565310
oct1077571770
9344885000
10150926328
1178215203
1242665760
1325364727
141608a440
15d3b3da3
hex8fef3f8

150926328 has 112 divisors (see below), whose sum is σ = 485029680. Its totient is φ = 43110144.

The previous prime is 150926311. The next prime is 150926359. The reversal of 150926328 is 823629051.

150926328 is a `hidden beast` number, since 15 + 0 + 9 + 2 + 632 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 150926292 and 150926301.

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 27 ways as a sum of consecutive naturals, for example, 38976 + ... + 42672.

Almost surely, 2150926328 is an apocalyptic number.

150926328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150926328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242514840).

150926328 is an abundant number, since it is smaller than the sum of its proper divisors (334103352).

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

150926328 is an equidigital number, since it uses as much as digits as its factorization.

150926328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3728 (or 3709 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 150926328 is about 12285.2076905521. The cubic root of 150926328 is about 532.4207856775.

The spelling of 150926328 in words is "one hundred fifty million, nine hundred twenty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 729 756 972 1134 1458 1512 1701 1944 2268 2916 3402 3697 4536 5103 5832 6804 7394 10206 11091 13608 14788 20412 22182 25879 29576 33273 40824 44364 51758 66546 77637 88728 99819 103516 133092 155274 199638 207032 232911 266184 299457 310548 399276 465822 598914 621096 698733 798552 898371 931644 1197828 1397466 1796742 1863288 2096199 2395656 2695113 2794932 3593484 4192398 5390226 5589864 6288597 7186968 8384796 10780452 12577194 16769592 18865791 21560904 25154388 37731582 50308776 75463164 150926328