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99773088 = 2531397477
BaseRepresentation
bin1011111001001…
…10101010100000
320221201222221120
411330212222200
5201020214323
613522252240
72321025432
oct574465240
9227658846
1099773088
1151356aa8
12294b7080
131789443c
14d372652
158b5c5e3
hex5f26aa0

99773088 has 48 divisors (see below), whose sum is σ = 263823840. Its totient is φ = 33014016.

The previous prime is 99773081. The next prime is 99773101. The reversal of 99773088 is 88037799.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 99773088.

It is not an unprimeable number, because it can be changed into a prime (99773081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9606 + ... + 17082.

It is an arithmetic number, because the mean of its divisors is an integer number (5496330).

Almost surely, 299773088 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 99773088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131911920).

99773088 is an abundant number, since it is smaller than the sum of its proper divisors (164050752).

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

99773088 is a wasteful number, since it uses less digits than its factorization.

99773088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7629 (or 7621 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 51.

The square root of 99773088 is about 9988.6479565555. The cubic root of 99773088 is about 463.8075400786.

The spelling of 99773088 in words is "ninety-nine million, seven hundred seventy-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 139 278 417 556 834 1112 1668 2224 3336 4448 6672 7477 13344 14954 22431 29908 44862 59816 89724 119632 179448 239264 358896 717792 1039303 2078606 3117909 4157212 6235818 8314424 12471636 16628848 24943272 33257696 49886544 99773088