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382849104 = 243115313681
BaseRepresentation
bin10110110100011…
…101000001010000
3222200101202020110
4112310131001100
51241002132404
6101553441320
712326110101
oct2664350120
9880352213
10382849104
11187121220
12a8270240
1361417c41
1438bbc3a8
1523926b89
hex16d1d050

382849104 has 80 divisors (see below), whose sum is σ = 1099376064. Its totient is φ = 113817600.

The previous prime is 382849091. The next prime is 382849109. The reversal of 382849104 is 401948283.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382849109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21144 + ... + 34824.

Almost surely, 2382849104 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 382849104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549688032).

382849104 is an abundant number, since it is smaller than the sum of its proper divisors (716526960).

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

382849104 is a wasteful number, since it uses less digits than its factorization.

382849104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13756 (or 13750 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 382849104 is about 19566.5301982748. The cubic root of 382849104 is about 726.1213587925.

The spelling of 382849104 in words is "three hundred eighty-two million, eight hundred forty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 53 66 88 106 132 159 176 212 264 318 424 528 583 636 848 1166 1272 1749 2332 2544 3498 4664 6996 9328 13681 13992 27362 27984 41043 54724 82086 109448 150491 164172 218896 300982 328344 451473 601964 656688 725093 902946 1203928 1450186 1805892 2175279 2407856 2900372 3611784 4350558 5800744 7223568 7976023 8701116 11601488 15952046 17402232 23928069 31904092 34804464 47856138 63808184 95712276 127616368 191424552 382849104