Search a number
-
+
969958368 = 25335691973
BaseRepresentation
bin111001110100000…
…110001111100000
32111121010222202000
4321310012033200
53441302131433
6240125324000
733015336651
oct7164061740
92447128660
10969958368
11458575095
12230a06600
13125c4c282
1492b6b528
155a24a113
hex39d063e0

969958368 has 96 divisors (see below), whose sum is σ = 2835453600. Its totient is φ = 322587648.

The previous prime is 969958351. The next prime is 969958391. The reversal of 969958368 is 863859969.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 490630 + ... + 492602.

It is an arithmetic number, because the mean of its divisors is an integer number (29535975).

Almost surely, 2969958368 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 969958368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417726800).

969958368 is an abundant number, since it is smaller than the sum of its proper divisors (1865495232).

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

969958368 is a wasteful number, since it uses less digits than its factorization.

969958368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2561 (or 2547 counting only the distinct ones).

The product of its digits is 25194240, while the sum is 63.

The square root of 969958368 is about 31144.1546361432. The cubic root of 969958368 is about 989.8841370376.

The spelling of 969958368 in words is "nine hundred sixty-nine million, nine hundred fifty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 569 864 1138 1707 1973 2276 3414 3946 4552 5121 5919 6828 7892 9104 10242 11838 13656 15363 15784 17757 18208 20484 23676 27312 30726 31568 35514 40968 47352 53271 54624 61452 63136 71028 81936 94704 106542 122904 142056 163872 189408 213084 245808 284112 426168 491616 568224 852336 1122637 1704672 2245274 3367911 4490548 6735822 8981096 10103733 13471644 17962192 20207466 26943288 30311199 35924384 40414932 53886576 60622398 80829864 107773152 121244796 161659728 242489592 323319456 484979184 969958368