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99334432 = 2519199821
BaseRepresentation
bin1011110101110…
…11100100100000
320220220201020001
411322323210200
5200412200212
613505025344
72314220521
oct572734440
9226821201
1099334432
115108747a
1229325254
131776c892
14d29a848
158ac2657
hex5ebb920

99334432 has 48 divisors (see below), whose sum is σ = 207144000. Its totient is φ = 46759680.

The previous prime is 99334427. The next prime is 99334441. The reversal of 99334432 is 23443399.

It is a junction number, because it is equal to n+sod(n) for n = 99334391 and 99334400.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120582 + ... + 121402.

It is an arithmetic number, because the mean of its divisors is an integer number (4315500).

Almost surely, 299334432 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 99334432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103572000).

99334432 is an abundant number, since it is smaller than the sum of its proper divisors (107809568).

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

99334432 is a wasteful number, since it uses less digits than its factorization.

99334432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1041 counting only the distinct ones).

The product of its digits is 69984, while the sum is 37.

The square root of 99334432 is about 9966.6660423634. Note that the first 3 decimals coincide. The cubic root of 99334432 is about 463.1268259499.

It can be divided in two parts, 9933 and 4432, that added together give a triangular number (14365 = T169).

The spelling of 99334432 in words is "ninety-nine million, three hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 32 38 76 152 199 304 398 608 796 821 1592 1642 3184 3284 3781 6368 6568 7562 13136 15124 15599 26272 30248 31198 60496 62396 120992 124792 163379 249584 326758 499168 653516 1307032 2614064 3104201 5228128 6208402 12416804 24833608 49667216 99334432