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382532964 = 2231123163773
BaseRepresentation
bin10110110011001…
…111110101100100
3222122210200120120
4112303033311210
51240412023324
6101543001540
712323322312
oct2663176544
9878720516
10382532964
11186a25750
12a81392b0
1361337088
1438b390b2
15238b3179
hex16ccfd64

382532964 has 96 divisors (see below), whose sum is σ = 1023611904. Its totient is φ = 110056320.

The previous prime is 382532957. The next prime is 382532971. The reversal of 382532964 is 469235283.

It is an interprime number because it is at equal distance from previous prime (382532957) and next prime (382532971).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 494482 + ... + 495254.

It is an arithmetic number, because the mean of its divisors is an integer number (10662624).

Almost surely, 2382532964 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 382532964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511805952).

382532964 is an abundant number, since it is smaller than the sum of its proper divisors (641078940).

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

382532964 is a wasteful number, since it uses less digits than its factorization.

382532964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 975 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 382532964 is about 19558.4499385815. The cubic root of 382532964 is about 725.9214373624.

The spelling of 382532964 in words is "three hundred eighty-two million, five hundred thirty-two thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 163 253 276 326 489 506 652 759 773 978 1012 1518 1546 1793 1956 2319 3036 3092 3586 3749 4638 5379 7172 7498 8503 9276 10758 11247 14996 17006 17779 21516 22494 25509 34012 35558 41239 44988 51018 53337 71116 82478 102036 106674 123717 125999 164956 195569 213348 247434 251998 377997 391138 494868 503996 586707 755994 782276 1173414 1385989 1511988 2346828 2771978 2897977 4157967 5543956 5795954 8315934 8693931 11591908 16631868 17387862 31877747 34775724 63755494 95633241 127510988 191266482 382532964