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99949312 = 282913463
BaseRepresentation
bin1011111010100…
…01101100000000
320222001221200101
411331101230000
5201041334222
613530132144
72322361261
oct575215400
9228057611
1099949312
1151467441
1229581054
1317926708
14d3ba968
158b94927
hex5f51b00

99949312 has 36 divisors (see below), whose sum is σ = 206403120. Its totient is φ = 48247808.

The previous prime is 99949303. The next prime is 99949313. The reversal of 99949312 is 21394999.

It is not an unprimeable number, because it can be changed into a prime (99949313) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 693 + ... + 14155.

It is an arithmetic number, because the mean of its divisors is an integer number (5733420).

Almost surely, 299949312 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 99949312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103201560).

99949312 is an abundant number, since it is smaller than the sum of its proper divisors (106453808).

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

99949312 is a wasteful number, since it uses less digits than its factorization.

99949312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13508 (or 13494 counting only the distinct ones).

The product of its digits is 157464, while the sum is 46.

The square root of 99949312 is about 9997.4652787594. The cubic root of 99949312 is about 464.0804458220.

It can be divided in two parts, 9994 and 9312, that added together give a triangular number (19306 = T196).

The spelling of 99949312 in words is "ninety-nine million, nine hundred forty-nine thousand, three hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 928 1856 3712 7424 13463 26926 53852 107704 215408 390427 430816 780854 861632 1561708 1723264 3123416 3446528 6246832 12493664 24987328 49974656 99949312