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99469216 = 2572117379
BaseRepresentation
bin1011110110111…
…00011110100000
320221011120010001
411323130132200
5200431003331
613511545344
72315321500
oct573343640
9227146101
1099469216
1151169770
122938b254
13177b9032
14d2d3a00
158aec561
hex5edc7a0

99469216 has 144 divisors (see below), whose sum is σ = 255104640. Its totient is φ = 37739520.

The previous prime is 99469213. The next prime is 99469219. The reversal of 99469216 is 61296499.

It is an interprime number because it is at equal distance from previous prime (99469213) and next prime (99469219).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99469213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1259065 + ... + 1259143.

It is an arithmetic number, because the mean of its divisors is an integer number (1771560).

Almost surely, 299469216 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 99469216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127552320).

99469216 is an abundant number, since it is smaller than the sum of its proper divisors (155635424).

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

99469216 is a wasteful number, since it uses less digits than its factorization.

99469216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 172 counting only the distinct ones).

The product of its digits is 209952, while the sum is 46.

The square root of 99469216 is about 9973.4254897703. The cubic root of 99469216 is about 463.3361990518.

The spelling of 99469216 in words is "ninety-nine million, four hundred sixty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 73 77 79 88 98 112 146 154 158 176 196 224 292 308 316 352 392 511 539 553 584 616 632 784 803 869 1022 1078 1106 1168 1232 1264 1568 1606 1738 2044 2156 2212 2336 2464 2528 3212 3476 3577 3871 4088 4312 4424 5621 5767 6083 6424 6952 7154 7742 8176 8624 8848 11242 11534 12166 12848 13904 14308 15484 16352 17248 17696 22484 23068 24332 25696 27808 28616 30968 39347 40369 42581 44968 46136 48664 57232 61936 63437 78694 80738 85162 89936 92272 97328 114464 123872 126874 157388 161476 170324 179872 184544 194656 253748 282583 314776 322952 340648 444059 507496 565166 629552 645904 681296 888118 1014992 1130332 1259104 1291808 1362592 1776236 2029984 2260664 3108413 3552472 4521328 6216826 7104944 9042656 12433652 14209888 24867304 49734608 99469216