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961689936 = 243314713751
BaseRepresentation
bin111001010100100…
…011100101010000
32111000120220120210
4321110203211100
53432143034221
6235232204120
732555141514
oct7124434520
92430526523
10961689936
11453937979
1222a099640
131243158cc
1491a18144
1559665276
hex39523950

961689936 has 80 divisors (see below), whose sum is σ = 2619260928. Its totient is φ = 303600000.

The previous prime is 961689931. The next prime is 961689943. The reversal of 961689936 is 639986169.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961689931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63061 + ... + 76811.

Almost surely, 2961689936 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 961689936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309630464).

961689936 is an abundant number, since it is smaller than the sum of its proper divisors (1657570992).

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

961689936 is a wasteful number, since it uses less digits than its factorization.

961689936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13840 (or 13834 counting only the distinct ones).

The product of its digits is 3779136, while the sum is 57.

The square root of 961689936 is about 31011.1260034201. The cubic root of 961689936 is about 987.0633432594.

The spelling of 961689936 in words is "nine hundred sixty-one million, six hundred eighty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 47 48 62 93 94 124 141 186 188 248 282 372 376 496 564 744 752 1128 1457 1488 2256 2914 4371 5828 8742 11656 13751 17484 23312 27502 34968 41253 55004 69936 82506 110008 165012 220016 330024 426281 646297 660048 852562 1278843 1292594 1705124 1938891 2557686 2585188 3410248 3877782 5115372 5170376 6820496 7755564 10230744 10340752 15511128 20035207 20461488 31022256 40070414 60105621 80140828 120211242 160281656 240422484 320563312 480844968 961689936