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99750084 = 22372172587
BaseRepresentation
bin1011111001000…
…01000011000100
320221200211101120
411330201003010
5201014000314
613521553540
72320601400
oct574410304
9227624346
1099750084
1151340795
12294a58b0
1317886b25
14d368100
158b558a9
hex5f210c4

99750084 has 108 divisors (see below), whose sum is σ = 288103536. Its totient is φ = 26777856.

The previous prime is 99750083. The next prime is 99750097. The reversal of 99750084 is 48005799.

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

It is not an unprimeable number, because it can be changed into a prime (99750083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 169639 + ... + 170225.

Almost surely, 299750084 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 99750084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144051768).

99750084 is an abundant number, since it is smaller than the sum of its proper divisors (188353452).

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

99750084 is a wasteful number, since it uses less digits than its factorization.

99750084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 99750084 is about 9987.4963829781. The cubic root of 99750084 is about 463.7718916923.

The spelling of 99750084 in words is "ninety-nine million, seven hundred fifty thousand, eighty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 68 84 98 102 119 147 196 204 238 289 294 357 476 578 587 588 714 833 867 1156 1174 1428 1666 1734 1761 2023 2348 2499 3332 3468 3522 4046 4109 4998 6069 7044 8092 8218 9979 9996 12138 12327 14161 16436 19958 24276 24654 28322 28763 29937 39916 42483 49308 56644 57526 59874 69853 84966 86289 115052 119748 139706 169643 169932 172578 209559 279412 339286 345156 419118 488971 508929 678572 838236 977942 1017858 1187501 1466913 1955884 2035716 2375002 2933826 3562503 4750004 5867652 7125006 8312507 14250012 16625014 24937521 33250028 49875042 99750084