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99363264 = 26371121347
BaseRepresentation
bin1011110110000…
…10100111000000
320220222011202220
411323002213000
5200414111024
613505411040
72314400550
oct573024700
9226864686
1099363264
11510a7100
1229339a80
131777ca40
14d2a7160
158acae79
hex5ec29c0

99363264 has 336 divisors, whose sum is σ = 363224064. Its totient is φ = 23316480.

The previous prime is 99363247. The next prime is 99363269. The reversal of 99363264 is 46236399.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99363269) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2114089 + ... + 2114135.

It is an arithmetic number, because the mean of its divisors is an integer number (1081024).

Almost surely, 299363264 is an apocalyptic number.

99363264 is a gapful number since it is divisible by the number (94) 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 99363264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181612032).

99363264 is an abundant number, since it is smaller than the sum of its proper divisors (263860800).

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

99363264 is a wasteful number, since it uses less digits than its factorization.

99363264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 83 counting only the distinct ones).

The product of its digits is 209952, while the sum is 42.

The square root of 99363264 is about 9968.1123589173. The cubic root of 99363264 is about 463.1716294173.

It can be divided in two parts, 99 and 363264, that added together give a palindrome (363363).

The spelling of 99363264 in words is "ninety-nine million, three hundred sixty-three thousand, two hundred sixty-four".