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99379584 = 2732281307
BaseRepresentation
bin1011110110001…
…10100110000000
320221000000011100
411323012212000
5200420121314
613510014400
72314466253
oct573064600
9227000140
1099379584
1151108397
1229347400
13177872b5
14d2ad09a
158ad0c09
hex5ec6980

99379584 has 96 divisors (see below), whose sum is σ = 287927640. Its totient is φ = 32901120.

The previous prime is 99379561. The next prime is 99379589. The reversal of 99379584 is 48597399.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 99379584.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99379589) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 323559 + ... + 323865.

Almost surely, 299379584 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 99379584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143963820).

99379584 is an abundant number, since it is smaller than the sum of its proper divisors (188548056).

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

99379584 is a wasteful number, since it uses less digits than its factorization.

99379584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 593 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The square root of 99379584 is about 9968.9309356621. The cubic root of 99379584 is about 463.1969860292.

The spelling of 99379584 in words is "ninety-nine million, three hundred seventy-nine thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 281 288 307 384 562 576 614 843 921 1124 1152 1228 1686 1842 2248 2456 2529 2763 3372 3684 4496 4912 5058 5526 6744 7368 8992 9824 10116 11052 13488 14736 17984 19648 20232 22104 26976 29472 35968 39296 40464 44208 53952 58944 80928 86267 88416 107904 117888 161856 172534 176832 258801 323712 345068 353664 517602 690136 776403 1035204 1380272 1552806 2070408 2760544 3105612 4140816 5521088 6211224 8281632 11042176 12422448 16563264 24844896 33126528 49689792 99379584