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99625248 = 2533671721
BaseRepresentation
bin1011111000000…
…10100100100000
320221110111011000
411330002210200
5201001001443
613515152000
72316541422
oct574024440
9227414130
1099625248
1151265a18
1229445600
1317842068
14d334812
158b2d8d3
hex5f02920

99625248 has 96 divisors (see below), whose sum is σ = 295081920. Its totient is φ = 32693760.

The previous prime is 99625247. The next prime is 99625271. The reversal of 99625248 is 84252699.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (99625247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57028 + ... + 58748.

It is an arithmetic number, because the mean of its divisors is an integer number (3073770).

Almost surely, 299625248 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 99625248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147540960).

99625248 is an abundant number, since it is smaller than the sum of its proper divisors (195456672).

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

99625248 is a wasteful number, since it uses less digits than its factorization.

99625248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1807 (or 1793 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 99625248 is about 9981.2448121464. The cubic root of 99625248 is about 463.5783426607.

It can be divided in two parts, 996 and 25248, that added together give a square (26244 = 1622).

The spelling of 99625248 in words is "ninety-nine million, six hundred twenty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 67 72 96 108 134 144 201 216 268 288 402 432 536 603 804 864 1072 1206 1608 1721 1809 2144 2412 3216 3442 3618 4824 5163 6432 6884 7236 9648 10326 13768 14472 15489 19296 20652 27536 28944 30978 41304 46467 55072 57888 61956 82608 92934 115307 123912 165216 185868 230614 247824 345921 371736 461228 495648 691842 743472 922456 1037763 1383684 1486944 1844912 2075526 2767368 3113289 3689824 4151052 5534736 6226578 8302104 11069472 12453156 16604208 24906312 33208416 49812624 99625248