Search a number
-
+
98550972 = 223313174129
BaseRepresentation
bin1011101111111…
…00010010111100
320212102220112000
411313330102330
5200212112342
613440142300
72304445422
oct567742274
9225386460
1098550972
11506a1893
1229007990
13175570b0
14d135112
1589ba44c
hex5dfc4bc

98550972 has 96 divisors (see below), whose sum is σ = 291412800. Its totient is φ = 28532736.

The previous prime is 98550937. The next prime is 98550979. The reversal of 98550972 is 27905589.

It is a happy number.

98550972 is a `hidden beast` number, since 9 + 8 + 550 + 97 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98550979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21804 + ... + 25932.

It is an arithmetic number, because the mean of its divisors is an integer number (3035550).

Almost surely, 298550972 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 98550972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145706400).

98550972 is an abundant number, since it is smaller than the sum of its proper divisors (192861828).

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

98550972 is a wasteful number, since it uses less digits than its factorization.

98550972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4172 (or 4164 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 98550972 is about 9927.2842207726. The cubic root of 98550972 is about 461.9060358743.

The spelling of 98550972 in words is "ninety-eight million, five hundred fifty thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 27 34 36 39 51 52 54 68 78 102 108 117 153 156 204 221 234 306 351 442 459 468 612 663 702 884 918 1326 1404 1836 1989 2652 3978 4129 5967 7956 8258 11934 12387 16516 23868 24774 37161 49548 53677 70193 74322 107354 111483 140386 148644 161031 210579 214708 222966 280772 322062 421158 445932 483093 631737 644124 842316 912509 966186 1263474 1449279 1825018 1895211 1932372 2526948 2737527 2898558 3650036 3790422 5475054 5797116 7580844 8212581 10950108 16425162 24637743 32850324 49275486 98550972