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961296704 = 2637677383
BaseRepresentation
bin111001010011000…
…011100101000000
32110222211221011122
4321103003211000
53432042443304
6235215531412
732551613204
oct7123034500
92428757148
10961296704
11453699495
12229b29b68
13124208924
1491954b04
15595d89be
hex394c3940

961296704 has 112 divisors (see below), whose sum is σ = 2039892288. Its totient is φ = 448892928.

The previous prime is 961296673. The next prime is 961296709. The reversal of 961296704 is 407692169.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961296709) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11581847 + ... + 11581929.

It is an arithmetic number, because the mean of its divisors is an integer number (18213324).

Almost surely, 2961296704 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 961296704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019946144).

961296704 is an abundant number, since it is smaller than the sum of its proper divisors (1078595584).

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

961296704 is a wasteful number, since it uses less digits than its factorization.

961296704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 44.

The square root of 961296704 is about 31004.7851790655. The cubic root of 961296704 is about 986.9287892160.

The spelling of 961296704 in words is "nine hundred sixty-one million, two hundred ninety-six thousand, seven hundred four".

Divisors: 1 2 4 8 16 32 37 64 67 73 74 83 134 146 148 166 268 292 296 332 536 584 592 664 1072 1168 1184 1328 2144 2336 2368 2479 2656 2701 3071 4288 4672 4891 4958 5312 5402 5561 6059 6142 9782 9916 10804 11122 12118 12284 19564 19832 21608 22244 24236 24568 39128 39664 43216 44488 48472 49136 78256 79328 86432 88976 96944 98272 156512 158656 172864 177952 180967 193888 196544 205757 224183 313024 355904 361934 387776 405953 411514 448366 723868 811906 823028 896732 1447736 1623812 1646056 1793464 2895472 3247624 3292112 3586928 5790944 6495248 6584224 7173856 11581888 12990496 13168448 14347712 15020261 25980992 30040522 60081044 120162088 240324176 480648352 961296704