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99264042 = 235297043
BaseRepresentation
bin1011110101010…
…10011000101010
320220210010200000
411322222120222
5200402422132
613503323430
72313505353
oct572523052
9226703600
1099264042
11510395a9
12292b0576
1317746827
14d27cd2a
158aab87c
hex5eaa62a

99264042 has 48 divisors (see below), whose sum is σ = 230761440. Its totient is φ = 31942512.

The previous prime is 99264031. The next prime is 99264043. The reversal of 99264042 is 24046299.

99264042 is a `hidden beast` number, since 9 + 9 + 2 + 640 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 99263988 and 99264006.

It is not an unprimeable number, because it can be changed into a prime (99264043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10573 + ... + 17615.

It is an arithmetic number, because the mean of its divisors is an integer number (4807530).

Almost surely, 299264042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99264042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115380720).

99264042 is an abundant number, since it is smaller than the sum of its proper divisors (131497398).

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

99264042 is a wasteful number, since it uses less digits than its factorization.

99264042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7089 (or 7077 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 99264042 is about 9963.1341454384. The cubic root of 99264042 is about 463.0174070242.

The spelling of 99264042 in words is "ninety-nine million, two hundred sixty-four thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 243 261 486 522 783 1566 2349 4698 7043 7047 14086 14094 21129 42258 63387 126774 190161 204247 380322 408494 570483 612741 1140966 1225482 1711449 1838223 3422898 3676446 5514669 11029338 16544007 33088014 49632021 99264042