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381687808 = 2111719577
BaseRepresentation
bin10110110000000…
…001100000000000
3222121012202020111
4112300001200000
51240203002213
6101512521104
712313202305
oct2660014000
9877182214
10381687808
111864a8777
12a79b0194
13610cc498
14389990ac
1523797a3d
hex16c01800

381687808 has 96 divisors (see below), whose sum is σ = 852087600. Its totient is φ = 169869312.

The previous prime is 381687781. The next prime is 381687833. The reversal of 381687808 is 808786183.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 661216 + ... + 661792.

Almost surely, 2381687808 is an apocalyptic number.

381687808 is a gapful number since it is divisible by the number (38) 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 381687808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426043800).

381687808 is an abundant number, since it is smaller than the sum of its proper divisors (470399792).

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

381687808 is a wasteful number, since it uses less digits than its factorization.

381687808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 49.

The square root of 381687808 is about 19536.8320871118. The cubic root of 381687808 is about 725.3864340210.

The spelling of 381687808 in words is "three hundred eighty-one million, six hundred eighty-seven thousand, eight hundred eight".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 68 76 128 136 152 256 272 304 323 512 544 577 608 646 1024 1088 1154 1216 1292 2048 2176 2308 2432 2584 4352 4616 4864 5168 8704 9232 9728 9809 10336 10963 17408 18464 19456 19618 20672 21926 34816 36928 38912 39236 41344 43852 73856 78472 82688 87704 147712 156944 165376 175408 186371 295424 313888 330752 350816 372742 590848 627776 661504 701632 745484 1181696 1255552 1403264 1490968 2511104 2806528 2981936 5022208 5613056 5963872 10044416 11226112 11927744 20088832 22452224 23855488 47710976 95421952 190843904 381687808