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98199264 = 2534161409
BaseRepresentation
bin1011101101001…
…10011011100000
320211210001001210
411312212123200
5200114334024
613424430120
72301452142
oct566463340
9224701053
1098199264
1150481619
1228a78340
1317462c97
14d082c92
15894b129
hex5da66e0

98199264 has 96 divisors (see below), whose sum is σ = 269045280. Its totient is φ = 31334400.

The previous prime is 98199251. The next prime is 98199317. The reversal of 98199264 is 46299189.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239892 + ... + 240300.

It is an arithmetic number, because the mean of its divisors is an integer number (2802555).

Almost surely, 298199264 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 98199264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134522640).

98199264 is an abundant number, since it is smaller than the sum of its proper divisors (170846016).

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

98199264 is a wasteful number, since it uses less digits than its factorization.

98199264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 516 counting only the distinct ones).

The product of its digits is 279936, while the sum is 48.

The square root of 98199264 is about 9909.5541776611. The cubic root of 98199264 is about 461.3558985996.

The spelling of 98199264 in words is "ninety-eight million, one hundred ninety-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 61 82 96 122 123 164 183 244 246 328 366 409 488 492 656 732 818 976 984 1227 1312 1464 1636 1952 1968 2454 2501 2928 3272 3936 4908 5002 5856 6544 7503 9816 10004 13088 15006 16769 19632 20008 24949 30012 33538 39264 40016 49898 50307 60024 67076 74847 80032 99796 100614 120048 134152 149694 199592 201228 240096 268304 299388 399184 402456 536608 598776 798368 804912 1022909 1197552 1609824 2045818 2395104 3068727 4091636 6137454 8183272 12274908 16366544 24549816 32733088 49099632 98199264