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99235872 = 25325872
BaseRepresentation
bin1011110101000…
…11100000100000
320220201201000200
411322203200200
5200401021442
613502545200
72313330261
oct572434040
9226651020
1099235872
115101a41a
1229298200
1317736a68
14d272968
158aa334c
hex5ea3820

99235872 has 54 divisors (see below), whose sum is σ = 282683583. Its totient is φ = 33022272.

The previous prime is 99235859. The next prime is 99235891. The reversal of 99235872 is 27853299.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 49617936 + 49617936 = 7044^2 + 7044^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=7044.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 168763 + ... + 169349.

Almost surely, 299235872 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 99235872

99235872 is an abundant number, since it is smaller than the sum of its proper divisors (183447711).

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

99235872 is an equidigital number, since it uses as much as digits as its factorization.

99235872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 592 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 99235872 is about 9961.7203333561. The cubic root of 99235872 is about 462.9736031985.

It can be divided in two parts, 992 and 35872, that added together give a square (36864 = 1922).

The spelling of 99235872 in words is "ninety-nine million, two hundred thirty-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 587 1174 1761 2348 3522 4696 5283 7044 9392 10566 14088 18784 21132 28176 42264 56352 84528 169056 344569 689138 1033707 1378276 2067414 2756552 3101121 4134828 5513104 6202242 8269656 11026208 12404484 16539312 24808968 33078624 49617936 99235872