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99430656 = 2831323433
BaseRepresentation
bin1011110110100…
…11000100000000
320221002121012220
411323103010000
5200423240111
613511051040
72315101203
oct573230400
9227077186
1099430656
11511427a6
1229370a80
13177a4610
14d2c393a
158ae0e06
hex5ed3100

99430656 has 144 divisors (see below), whose sum is σ = 298064256. Its totient is φ = 29196288.

The previous prime is 99430651. The next prime is 99430673. The reversal of 99430656 is 65603499.

It is not an unprimeable number, because it can be changed into a prime (99430651) 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, 229416 + ... + 229848.

Almost surely, 299430656 is an apocalyptic number.

99430656 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 99430656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149032128).

99430656 is an abundant number, since it is smaller than the sum of its proper divisors (198633600).

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

99430656 is a wasteful number, since it uses less digits than its factorization.

99430656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The square root of 99430656 is about 9971.4921651677. The cubic root of 99430656 is about 463.2763193767.

The spelling of 99430656 in words is "ninety-nine million, four hundred thirty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 48 52 64 69 78 92 96 104 128 138 156 184 192 208 256 276 299 312 368 384 416 433 552 598 624 736 768 832 866 897 1104 1196 1248 1299 1472 1664 1732 1794 2208 2392 2496 2598 2944 3328 3464 3588 4416 4784 4992 5196 5629 5888 6928 7176 8832 9568 9959 9984 10392 11258 13856 14352 16887 17664 19136 19918 20784 22516 27712 28704 29877 33774 38272 39836 41568 45032 55424 57408 59754 67548 76544 79672 83136 90064 110848 114816 119508 129467 135096 159344 166272 180128 229632 239016 258934 270192 318688 332544 360256 388401 478032 517868 540384 637376 720512 776802 956064 1035736 1080768 1274752 1441024 1553604 1912128 2071472 2161536 2549504 3107208 3824256 4142944 4323072 6214416 7648512 8285888 12428832 16571776 24857664 33143552 49715328 99430656