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99246272 = 2617194801
BaseRepresentation
bin1011110101001…
…10000011000000
320220202020021212
411322212003000
5200401340042
613503105252
72313402506
oct572460300
9226666255
1099246272
1151027214
12292a2228
131773b708
14d276676
158aa6482
hex5ea60c0

99246272 has 56 divisors (see below), whose sum is σ = 219547440. Its totient is φ = 44236800.

The previous prime is 99246271. The next prime is 99246293. The reversal of 99246272 is 27264299.

It is not an unprimeable number, because it can be changed into a prime (99246271) 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 7 ways as a sum of consecutive naturals, for example, 18272 + ... + 23072.

It is an arithmetic number, because the mean of its divisors is an integer number (3920490).

Almost surely, 299246272 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 99246272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109773720).

99246272 is an abundant number, since it is smaller than the sum of its proper divisors (120301168).

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

99246272 is a wasteful number, since it uses less digits than its factorization.

99246272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4849 (or 4839 counting only the distinct ones).

The product of its digits is 108864, while the sum is 41.

The square root of 99246272 is about 9962.2423178720. The cubic root of 99246272 is about 462.9897759701.

The spelling of 99246272 in words is "ninety-nine million, two hundred forty-six thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 68 76 136 152 272 304 323 544 608 646 1088 1216 1292 2584 4801 5168 9602 10336 19204 20672 38408 76816 81617 91219 153632 163234 182438 307264 326468 364876 652936 729752 1305872 1459504 1550723 2611744 2919008 3101446 5223488 5838016 6202892 12405784 24811568 49623136 99246272