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382812808 = 23767257397
BaseRepresentation
bin10110110100010…
…100001010001000
3222200022220110011
4112310110022020
51241000002213
6101553001304
712325566220
oct2664241210
9880286404
10382812808
111870a6a24
12a8253234
1361404571
1438bad080
152391b03d
hex16d14288

382812808 has 64 divisors (see below), whose sum is σ = 837901440. Its totient is φ = 160579584.

The previous prime is 382812797. The next prime is 382812809. The reversal of 382812808 is 808218283.

It is not an unprimeable number, because it can be changed into a prime (382812809) 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 15 ways as a sum of consecutive naturals, for example, 964066 + ... + 964462.

It is an arithmetic number, because the mean of its divisors is an integer number (13092210).

Almost surely, 2382812808 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 382812808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418950720).

382812808 is an abundant number, since it is smaller than the sum of its proper divisors (455088632).

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

382812808 is a wasteful number, since it uses less digits than its factorization.

382812808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 40.

The square root of 382812808 is about 19565.6026740809. The cubic root of 382812808 is about 726.0984114280.

The spelling of 382812808 in words is "three hundred eighty-two million, eight hundred twelve thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 28 56 67 134 257 268 397 469 514 536 794 938 1028 1588 1799 1876 2056 2779 3176 3598 3752 5558 7196 11116 14392 17219 22232 26599 34438 53198 68876 102029 106396 120533 137752 186193 204058 212792 241066 372386 408116 482132 714203 744772 816232 964264 1428406 1489544 2856812 5713624 6835943 13671886 27343772 47851601 54687544 95703202 191406404 382812808