Search a number
-
+
99492480 = 2732523751
BaseRepresentation
bin1011110111000…
…10001010000000
320221012202000200
411323202022000
5200432224410
613512245200
72315446353
oct573421200
9227182020
1099492480
115118519a
12293a0800
13177c67b9
14d2dc29a
158b043c0
hex5ee2280

99492480 has 192 divisors, whose sum is σ = 358974720. Its totient is φ = 25344000.

The previous prime is 99492479. The next prime is 99492529. The reversal of 99492480 is 8429499.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 132105 + ... + 132855.

It is an arithmetic number, because the mean of its divisors is an integer number (1869660).

Almost surely, 299492480 is an apocalyptic number.

99492480 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99492480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179487360).

99492480 is an abundant number, since it is smaller than the sum of its proper divisors (259482240).

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

99492480 is a wasteful number, since it uses less digits than its factorization.

99492480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 99492480 is about 9974.5917209678. The cubic root of 99492480 is about 463.3723181432.

The spelling of 99492480 in words is "ninety-nine million, four hundred ninety-two thousand, four hundred eighty".