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99952398 = 232713139439
BaseRepresentation
bin1011111010100…
…10011100001110
320222002002220200
411331102130032
5201041434043
613530154330
72322403260
oct575223416
9228062820
1099952398
1151469797
12295829a6
1317927c40
14d3bbb30
158b957d3
hex5f5270e

99952398 has 96 divisors (see below), whose sum is σ = 269068800. Its totient is φ = 26111808.

The previous prime is 99952397. The next prime is 99952399. The reversal of 99952398 is 89325999.

It is an interprime number because it is at equal distance from previous prime (99952397) and next prime (99952399).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99952393) 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, 227463 + ... + 227901.

It is an arithmetic number, because the mean of its divisors is an integer number (2802800).

Almost surely, 299952398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99952398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134534400).

99952398 is an abundant number, since it is smaller than the sum of its proper divisors (169116402).

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

99952398 is a wasteful number, since it uses less digits than its factorization.

99952398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 603 counting only the distinct ones).

The product of its digits is 1574640, while the sum is 54.

The square root of 99952398 is about 9997.6196166888. The cubic root of 99952398 is about 464.0852220347.

The spelling of 99952398 in words is "ninety-nine million, nine hundred fifty-two thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 139 182 234 273 278 417 439 546 819 834 878 973 1251 1317 1638 1807 1946 2502 2634 2919 3073 3614 3951 5421 5707 5838 6146 7902 8757 9219 10842 11414 12649 16263 17121 17514 18438 25298 27657 32526 34242 37947 39949 51363 55314 61021 75894 79898 102726 113841 119847 122042 183063 227682 239694 359541 366126 427147 549189 719082 793273 854294 1098378 1281441 1586546 2379819 2562882 3844323 4759638 5552911 7139457 7688646 11105822 14278914 16658733 33317466 49976199 99952398