Search a number
-
+
966648936 = 233118941141
BaseRepresentation
bin111001100111011…
…110010001101000
32111100220212001110
4321213132101220
53434430231221
6235530350320
732645244321
oct7147362150
92440825043
10966648936
11456714720
1222b88b3a0
13125360b26
1492549448
1559ce4776
hex399de468

966648936 has 64 divisors (see below), whose sum is σ = 2666001600. Its totient is φ = 289625600.

The previous prime is 966648919. The next prime is 966648961. The reversal of 966648936 is 639846669.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2926 + ... + 44066.

It is an arithmetic number, because the mean of its divisors is an integer number (41656275).

Almost surely, 2966648936 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 966648936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333000800).

966648936 is an abundant number, since it is smaller than the sum of its proper divisors (1699352664).

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

966648936 is a wasteful number, since it uses less digits than its factorization.

966648936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41250 (or 41246 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 57.

The square root of 966648936 is about 31090.9783699388. The cubic root of 966648936 is about 988.7570484244.

The spelling of 966648936 in words is "nine hundred sixty-six million, six hundred forty-eight thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 89 132 178 264 267 356 534 712 979 1068 1958 2136 2937 3916 5874 7832 11748 23496 41141 82282 123423 164564 246846 329128 452551 493692 905102 987384 1357653 1810204 2715306 3620408 3661549 5430612 7323098 10861224 10984647 14646196 21969294 29292392 40277039 43938588 80554078 87877176 120831117 161108156 241662234 322216312 483324468 966648936