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966325864 = 237219235641
BaseRepresentation
bin111001100110001…
…111011001101000
32111100022102212211
4321212033121220
53434334411424
6235515414504
732642430400
oct7146173150
92440272784
10966325864
11456513a19
1222b754434
13125279a6a
14924a3800
1559c7db94
hex3998f668

966325864 has 96 divisors (see below), whose sum is σ = 2315476800. Its totient is φ = 375217920.

The previous prime is 966325837. The next prime is 966325879. The reversal of 966325864 is 468523669.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168484 + ... + 174124.

It is an arithmetic number, because the mean of its divisors is an integer number (24119550).

Almost surely, 2966325864 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 966325864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157738400).

966325864 is an abundant number, since it is smaller than the sum of its proper divisors (1349150936).

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

966325864 is a wasteful number, since it uses less digits than its factorization.

966325864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5703 (or 5692 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 49.

The square root of 966325864 is about 31085.7823449885. The cubic root of 966325864 is about 988.6468825033.

The spelling of 966325864 in words is "nine hundred sixty-six million, three hundred twenty-five thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 19 23 28 38 46 49 56 76 92 98 133 152 161 184 196 266 322 392 437 532 644 874 931 1064 1127 1288 1748 1862 2254 3059 3496 3724 4508 5641 6118 7448 9016 11282 12236 21413 22564 24472 39487 42826 45128 78974 85652 107179 129743 157948 171304 214358 259486 276409 315896 428716 518972 552818 750253 857432 908201 1037944 1105636 1500506 1816402 2211272 2465117 3001012 3632804 4930234 5251771 6002024 6357407 7265608 9860468 10503542 12714814 17255819 19720936 21007084 25429628 34511638 42014168 50859256 69023276 120790733 138046552 241581466 483162932 966325864