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99744414 = 237112191033
BaseRepresentation
bin1011111000111…
…11101010011110
320221200112121120
411330133222132
5201013310124
613521511410
72320546020
oct574375236
9227615546
1099744414
1151337500
12294a2566
1317884383
14d366010
158b53d79
hex5f1fa9e

99744414 has 96 divisors (see below), whose sum is σ = 264042240. Its totient is φ = 24520320.

The previous prime is 99744413. The next prime is 99744419. The reversal of 99744414 is 41444799.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99744413) 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, 96042 + ... + 97074.

It is an arithmetic number, because the mean of its divisors is an integer number (2750440).

Almost surely, 299744414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99744414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132021120).

99744414 is an abundant number, since it is smaller than the sum of its proper divisors (164297826).

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

99744414 is a wasteful number, since it uses less digits than its factorization.

99744414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1075 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 99744414 is about 9987.2125240229. The cubic root of 99744414 is about 463.7631042763.

The spelling of 99744414 in words is "ninety-nine million, seven hundred forty-four thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 57 66 77 114 121 133 154 209 231 242 266 363 399 418 462 627 726 798 847 1033 1254 1463 1694 2066 2299 2541 2926 3099 4389 4598 5082 6198 6897 7231 8778 11363 13794 14462 16093 19627 21693 22726 32186 34089 39254 43386 48279 58881 68178 79541 96558 117762 124993 137389 159082 215897 238623 249986 274778 374979 412167 431794 477246 647691 749958 824334 874951 1295382 1511279 1749902 2374867 2624853 3022558 4533837 4749734 5249706 7124601 9067674 14249202 16624069 33248138 49872207 99744414