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99950916 = 223132389313
BaseRepresentation
bin1011111010100…
…10000101000100
320222002000212210
411331102011010
5201041412131
613530143420
72322366042
oct575220504
9228060783
1099950916
115146866a
1229581b70
1317927370
14d3bb392
158b95146
hex5f52144

99950916 has 96 divisors (see below), whose sum is σ = 265870080. Its totient is φ = 28993536.

The previous prime is 99950867. The next prime is 99950933. The reversal of 99950916 is 61905999.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 319176 + ... + 319488.

It is an arithmetic number, because the mean of its divisors is an integer number (2769480).

Almost surely, 299950916 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 99950916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132935040).

99950916 is an abundant number, since it is smaller than the sum of its proper divisors (165919164).

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

99950916 is a wasteful number, since it uses less digits than its factorization.

99950916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 196830, while the sum is 48.

The square root of 99950916 is about 9997.5454987712. The cubic root of 99950916 is about 464.0829283506.

It can be divided in two parts, 999 and 50916, that added together give a palindrome (51915).

The spelling of 99950916 in words is "ninety-nine million, nine hundred fifty thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 89 92 138 156 178 267 276 299 313 356 534 598 626 897 939 1068 1157 1196 1252 1794 1878 2047 2314 3471 3588 3756 4069 4094 4628 6141 6942 7199 8138 8188 12207 12282 13884 14398 16276 21597 24414 24564 26611 27857 28796 43194 48828 53222 55714 79833 83571 86388 93587 106444 111428 159666 167142 187174 280761 319332 334284 362141 374348 561522 640711 724282 1086423 1123044 1281422 1448564 1922133 2172846 2562844 3844266 4345692 7688532 8329243 16658486 24987729 33316972 49975458 99950916