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961138928 = 241771157317
BaseRepresentation
bin111001010010011…
…101000011110000
32110222112220202002
4321102131003300
53432022421203
6235212313132
732550355211
oct7122350360
92428486662
10961138928
114535a09a2
12229a727a8
13124181b79
1491913408
15595a6d88
hex3949d0f0

961138928 has 80 divisors (see below), whose sum is σ = 2018602944. Its totient is φ = 441692160.

The previous prime is 961138903. The next prime is 961138943. The reversal of 961138928 is 829831169.

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, 3031826 + ... + 3032142.

Almost surely, 2961138928 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 961138928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009301472).

961138928 is an abundant number, since it is smaller than the sum of its proper divisors (1057464016).

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

961138928 is a wasteful number, since it uses less digits than its factorization.

961138928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 564 counting only the distinct ones).

The product of its digits is 186624, while the sum is 47.

The square root of 961138928 is about 31002.2406932144. The cubic root of 961138928 is about 986.8747919448.

The spelling of 961138928 in words is "nine hundred sixty-one million, one hundred thirty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 17 34 68 71 136 142 157 272 284 314 317 568 628 634 1136 1207 1256 1268 2414 2512 2536 2669 4828 5072 5338 5389 9656 10676 10778 11147 19312 21352 21556 22294 22507 42704 43112 44588 45014 49769 86224 89176 90028 99538 178352 180056 189499 199076 360112 378998 382619 398152 757996 765238 796304 846073 1515992 1530476 1692146 3031984 3060952 3384292 3533599 6121904 6768584 7067198 13537168 14134396 28268792 56537584 60071183 120142366 240284732 480569464 961138928