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382886952 = 233731371987
BaseRepresentation
bin10110110100100…
…110010000101000
3222200110200011020
4112310212100220
51241004340302
6101554332440
712326325330
oct2664462050
9880420136
10382886952
111871476a8
12a828a120
136142c236
1438bcc0c0
1523932ebc
hex16d26428

382886952 has 128 divisors (see below), whose sum is σ = 1160355840. Its totient is φ = 102954240.

The previous prime is 382886951. The next prime is 382887013. The reversal of 382886952 is 259688283.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 382886895 and 382886904.

It is not an unprimeable number, because it can be changed into a prime (382886951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191703 + ... + 193689.

It is an arithmetic number, because the mean of its divisors is an integer number (9065280).

Almost surely, 2382886952 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 382886952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580177920).

382886952 is an abundant number, since it is smaller than the sum of its proper divisors (777468888).

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

382886952 is a wasteful number, since it uses less digits than its factorization.

382886952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2071 (or 2067 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 51.

The square root of 382886952 is about 19567.4973361439. The cubic root of 382886952 is about 726.1452858309.

The spelling of 382886952 in words is "three hundred eighty-two million, eight hundred eighty-six thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 37 42 56 62 74 84 93 111 124 148 168 186 217 222 248 259 296 372 434 444 518 651 744 777 868 888 1036 1147 1302 1554 1736 1987 2072 2294 2604 3108 3441 3974 4588 5208 5961 6216 6882 7948 8029 9176 11922 13764 13909 15896 16058 23844 24087 27528 27818 32116 41727 47688 48174 55636 61597 64232 73519 83454 96348 111272 123194 147038 166908 184791 192696 220557 246388 294076 333816 369582 431179 441114 492776 514633 588152 739164 862358 882228 1029266 1293537 1478328 1543899 1724716 1764456 2058532 2279089 2587074 3087798 3449432 4117064 4558178 5174148 6175596 6837267 9116356 10348296 12351192 13674534 15953623 18232712 27349068 31907246 47860869 54698136 63814492 95721738 127628984 191443476 382886952