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99988938 = 2337833187
BaseRepresentation
bin1011111010110…
…11010111001010
320222010222001000
411331123113022
5201044121223
613531035430
72322614640
oct575332712
9228128030
1099988938
1151494195
122959bb76
131793b76a
14d3cb190
158ba1543
hex5f5b5ca

99988938 has 64 divisors (see below), whose sum is σ = 257080320. Its totient is φ = 28215216.

The previous prime is 99988913. The next prime is 99988961. The reversal of 99988938 is 83988999.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29781 + ... + 32967.

It is an arithmetic number, because the mean of its divisors is an integer number (4016880).

Almost surely, 299988938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99988938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128540160).

99988938 is an abundant number, since it is smaller than the sum of its proper divisors (157091382).

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

99988938 is a wasteful number, since it uses less digits than its factorization.

99988938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3288 (or 3282 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 63.

The square root of 99988938 is about 9999.4468847032. The cubic root of 99988938 is about 464.1417676449.

The spelling of 99988938 in words is "ninety-nine million, nine hundred eighty-eight thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 83 126 166 189 249 378 498 581 747 1162 1494 1743 2241 3187 3486 4482 5229 6374 9561 10458 15687 19122 22309 28683 31374 44618 57366 66927 86049 133854 172098 200781 264521 401562 529042 602343 793563 1204686 1587126 1851647 2380689 3703294 4761378 5554941 7142067 11109882 14284134 16664823 33329646 49994469 99988938