Search a number
-
+
98572992 = 2637711033
BaseRepresentation
bin1011110000000…
…01101011000000
320212111000201120
411320001223000
5200213313432
613440432240
72304566550
oct570015300
9225430646
1098572992
1150707391
1229018680
131756411b
14d13d160
1589c1c2c
hex5e01ac0

98572992 has 112 divisors (see below), whose sum is σ = 302556672. Its totient is φ = 27740160.

The previous prime is 98572967. The next prime is 98573017. The reversal of 98572992 is 29927589.

It is an interprime number because it is at equal distance from previous prime (98572967) and next prime (98573017).

It is a tau number, because it is divible by the number of its divisors (112).

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, 94908 + ... + 95940.

Almost surely, 298572992 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 98572992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151278336).

98572992 is an abundant number, since it is smaller than the sum of its proper divisors (203983680).

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

98572992 is a wasteful number, since it uses less digits than its factorization.

98572992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1116 counting only the distinct ones).

The product of its digits is 816480, while the sum is 51.

The square root of 98572992 is about 9928.3932234778. The cubic root of 98572992 is about 461.9404357159.

The spelling of 98572992 in words is "ninety-eight million, five hundred seventy-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 71 84 96 112 142 168 192 213 224 284 336 426 448 497 568 672 852 994 1033 1136 1344 1491 1704 1988 2066 2272 2982 3099 3408 3976 4132 4544 5964 6198 6816 7231 7952 8264 11928 12396 13632 14462 15904 16528 21693 23856 24792 28924 31808 33056 43386 47712 49584 57848 66112 73343 86772 95424 99168 115696 146686 173544 198336 220029 231392 293372 347088 440058 462784 513401 586744 694176 880116 1026802 1173488 1388352 1540203 1760232 2053604 2346976 3080406 3520464 4107208 4693952 6160812 7040928 8214416 12321624 14081856 16428832 24643248 32857664 49286496 98572992