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99596672 = 277293833
BaseRepresentation
bin1011110111110…
…11100110000000
320221102000221122
411323323212000
5200444043142
613514411412
72316362210
oct573734600
9227360848
1099596672
11512464aa
1229430b68
1317832056
14d328240
158b251d2
hex5efb980

99596672 has 64 divisors (see below), whose sum is σ = 234640800. Its totient is φ = 41201664.

The previous prime is 99596669. The next prime is 99596677. The reversal of 99596672 is 27669599.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99596677) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24068 + ... + 27900.

Almost surely, 299596672 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 99596672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117320400).

99596672 is an abundant number, since it is smaller than the sum of its proper divisors (135044128).

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

99596672 is a wasteful number, since it uses less digits than its factorization.

99596672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3883 (or 3871 counting only the distinct ones).

The product of its digits is 1837080, while the sum is 53.

The square root of 99596672 is about 9979.8132247052. The cubic root of 99596672 is about 463.5340149367.

The spelling of 99596672 in words is "ninety-nine million, five hundred ninety-six thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 406 448 464 812 896 928 1624 1856 3248 3712 3833 6496 7666 12992 15332 25984 26831 30664 53662 61328 107324 111157 122656 214648 222314 245312 429296 444628 490624 778099 858592 889256 1556198 1717184 1778512 3112396 3434368 3557024 6224792 7114048 12449584 14228096 24899168 49798336 99596672