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381238524 = 2232232915877
BaseRepresentation
bin10110101110010…
…011110011111100
3222120100220221100
4112232103303330
51240044113044
6101455133100
712306321402
oct2656236374
9876326840
10381238524
11186221167
12a7814190
1360ca2b34
14388bd472
1523709869
hex16b93cfc

381238524 has 72 divisors (see below), whose sum is σ = 1040326560. Its totient is φ = 117355392.

The previous prime is 381238523. The next prime is 381238567. The reversal of 381238524 is 425832183.

381238524 is a `hidden beast` number, since 3 + 8 + 123 + 8 + 524 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381238523) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16074 + ... + 31950.

It is an arithmetic number, because the mean of its divisors is an integer number (14448980).

Almost surely, 2381238524 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 381238524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520163280).

381238524 is an abundant number, since it is smaller than the sum of its proper divisors (659088036).

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

381238524 is a wasteful number, since it uses less digits than its factorization.

381238524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15939 (or 15934 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 381238524 is about 19525.3303173083. The cubic root of 381238524 is about 725.1017052720.

The spelling of 381238524 in words is "three hundred eighty-one million, two hundred thirty-eight thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 23 29 36 46 58 69 87 92 116 138 174 207 261 276 348 414 522 667 828 1044 1334 2001 2668 4002 6003 8004 12006 15877 24012 31754 47631 63508 95262 142893 190524 285786 365171 460433 571572 730342 920866 1095513 1381299 1460684 1841732 2191026 2762598 3286539 4143897 4382052 5525196 6573078 8287794 10589959 13146156 16575588 21179918 31769877 42359836 63539754 95309631 127079508 190619262 381238524