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961533056 = 2711173139
BaseRepresentation
bin111001010011111…
…101010010000000
32111000021221101102
4321103331102000
53432123024211
6235224553532
732553616241
oct7123752200
92430257342
10961533056
11453840020
1222a0228a8
1312428c393
14919b6cc8
1559633a3b
hex394fd480

961533056 has 128 divisors (see below), whose sum is σ = 2236248000. Its totient is φ = 408391680.

The previous prime is 961533037. The next prime is 961533071. The reversal of 961533056 is 650335169.

It is a tau number, because it is divible by the number of its divisors (128).

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, 6917435 + ... + 6917573.

Almost surely, 2961533056 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 961533056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118124000).

961533056 is an abundant number, since it is smaller than the sum of its proper divisors (1274714944).

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

961533056 is a wasteful number, since it uses less digits than its factorization.

961533056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 38.

The square root of 961533056 is about 31008.5964854909. The cubic root of 961533056 is about 987.0096672902.

The spelling of 961533056 in words is "nine hundred sixty-one million, five hundred thirty-three thousand, fifty-six".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 139 176 187 272 278 289 352 374 544 556 578 704 748 1088 1112 1156 1408 1496 1529 2176 2224 2312 2363 2992 3058 3179 4448 4624 4726 4913 5984 6116 6358 8896 9248 9452 9826 11968 12232 12716 17792 18496 18904 19652 23936 24464 25432 25993 36992 37808 39304 40171 48928 50864 51986 54043 75616 78608 80342 97856 101728 103972 108086 151232 157216 160684 195712 203456 207944 216172 302464 314432 321368 406912 415888 432344 441881 628864 642736 682907 831776 864688 883762 1285472 1365814 1663552 1729376 1767524 2570944 2731628 3327104 3458752 3535048 5141888 5463256 6917504 7070096 7511977 10926512 14140192 15023954 21853024 28280384 30047908 43706048 56560768 60095816 87412096 120191632 240383264 480766528 961533056