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99545472 = 27321317223
BaseRepresentation
bin1011110111011…
…11000110000000
320221022102201100
411323233012000
5200440423342
613513334400
72316060015
oct573570600
9227272640
1099545472
1151210a94
1229407400
1317814960
14d31370c
158b14e4c
hex5eef180

99545472 has 288 divisors, whose sum is σ = 341948880. Its totient is φ = 27574272.

The previous prime is 99545471. The next prime is 99545477. The reversal of 99545472 is 27454599.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (453600) is a multiple of the sum of its prime factors (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99545471) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4328053 + ... + 4328075.

Almost surely, 299545472 is an apocalyptic number.

99545472 is a gapful number since it is divisible by the number (92) 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 99545472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170974440).

99545472 is an abundant number, since it is smaller than the sum of its proper divisors (242403408).

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

99545472 is a wasteful number, since it uses less digits than its factorization.

99545472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 58 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 99545472 is about 9977.2477166802. The cubic root of 99545472 is about 463.4545711525.

The spelling of 99545472 in words is "ninety-nine million, five hundred forty-five thousand, four hundred seventy-two".