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381552696 = 233271315779
BaseRepresentation
bin10110101111100…
…000100000111000
3222120221212220100
4112233200200320
51240134141241
6101505555400
712312100350
oct2657404070
9876855810
10381552696
11186416208
12a7945b60
1361082b35
1438961b60
152376c9b6
hex16be0838

381552696 has 96 divisors (see below), whose sum is σ = 1190217600. Its totient is φ = 108164160.

The previous prime is 381552673. The next prime is 381552707. The reversal of 381552696 is 696255183.

381552696 is a `hidden beast` number, since 3 + 8 + 1 + 552 + 6 + 96 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63135 + ... + 68913.

It is an arithmetic number, because the mean of its divisors is an integer number (12398100).

Almost surely, 2381552696 is an apocalyptic number.

381552696 is a gapful number since it is divisible by the number (36) 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 381552696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595108800).

381552696 is an abundant number, since it is smaller than the sum of its proper divisors (808664904).

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

381552696 is a wasteful number, since it uses less digits than its factorization.

381552696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5929 (or 5922 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 381552696 is about 19533.3739021194. The cubic root of 381552696 is about 725.3008317944.

The spelling of 381552696 in words is "three hundred eighty-one million, five hundred fifty-two thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 131 168 252 262 393 504 524 786 917 1048 1179 1572 1834 2358 2751 3144 3668 4716 5502 5779 7336 8253 9432 11004 11558 16506 17337 22008 23116 33012 34674 40453 46232 52011 66024 69348 80906 104022 121359 138696 161812 208044 242718 323624 364077 416088 485436 728154 757049 970872 1456308 1514098 2271147 2912616 3028196 4542294 5299343 6056392 6813441 9084588 10598686 13626882 15898029 18169176 21197372 27253764 31796058 42394744 47694087 54507528 63592116 95388174 127184232 190776348 381552696