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99605728 = 253124179
BaseRepresentation
bin1011110111111…
…01110011100000
320221102111101001
411323331303200
5200444340403
613514521344
72316430465
oct573756340
9227374331
1099605728
1151252292
1229436254
1317836201
14d32b66c
158b27c1d
hex5efdce0

99605728 has 72 divisors (see below), whose sum is σ = 210198240. Its totient is φ = 46425600.

The previous prime is 99605717. The next prime is 99605729. The reversal of 99605728 is 82750699.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99605729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1260793 + ... + 1260871.

It is an arithmetic number, because the mean of its divisors is an integer number (2919420).

Almost surely, 299605728 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 99605728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105099120).

99605728 is an abundant number, since it is smaller than the sum of its proper divisors (110592512).

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

99605728 is a wasteful number, since it uses less digits than its factorization.

99605728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 46.

The square root of 99605728 is about 9980.2669302980. The cubic root of 99605728 is about 463.5480637221.

The spelling of 99605728 in words is "ninety-nine million, six hundred five thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 31 32 41 62 79 82 124 158 164 248 316 328 496 632 656 961 992 1264 1271 1312 1922 2449 2528 2542 3239 3844 4898 5084 6478 7688 9796 10168 12956 15376 19592 20336 25912 30752 39184 39401 40672 51824 75919 78368 78802 100409 103648 151838 157604 200818 303676 315208 401636 607352 630416 803272 1214704 1260832 1606544 2429408 3112679 3213088 6225358 12450716 24901432 49802864 99605728