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9957696 = 263731239
BaseRepresentation
bin100101111111…
…000101000000
3200201220101120
4211333011000
510022121241
6553232240
7150432120
oct45770500
920656346
109957696
115691401
123402680
1320a8538
141472c80
15d1a666
hex97f140

9957696 has 112 divisors (see below), whose sum is σ = 31211520. Its totient is φ = 2741760.

The previous prime is 9957683. The next prime is 9957697. The reversal of 9957696 is 6967599.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9957697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41545 + ... + 41783.

Almost surely, 29957696 is an apocalyptic number.

9957696 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9957696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15605760).

9957696 is an abundant number, since it is smaller than the sum of its proper divisors (21253824).

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

9957696 is a wasteful number, since it uses less digits than its factorization.

9957696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 282 counting only the distinct ones).

The product of its digits is 918540, while the sum is 51.

The square root of 9957696 is about 3155.5817213313. The cubic root of 9957696 is about 215.1392355722.

The spelling of 9957696 in words is "nine million, nine hundred fifty-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 168 186 192 217 224 239 248 336 372 434 448 478 496 651 672 717 744 868 956 992 1302 1344 1434 1488 1673 1736 1912 1984 2604 2868 2976 3346 3472 3824 5019 5208 5736 5952 6692 6944 7409 7648 10038 10416 11472 13384 13888 14818 15296 20076 20832 22227 22944 26768 29636 40152 41664 44454 45888 51863 53536 59272 80304 88908 103726 107072 118544 155589 160608 177816 207452 237088 311178 321216 355632 414904 474176 622356 711264 829808 1244712 1422528 1659616 2489424 3319232 4978848 9957696