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98055792 = 2433613
BaseRepresentation
bin1011101100000…
…11011001110000
320211111202021000
411312003121300
5200100241132
613421402000
72300313642
oct566033160
9224452230
1098055792
115039384a
1228a09300
13174128a3
14d046892
15891d87c
hex5d83670

98055792 has 80 divisors (see below), whose sum is σ = 286147360. Its totient is φ = 32149440.

The previous prime is 98055791. The next prime is 98055799. The reversal of 98055792 is 29755089.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

98055792 is a `hidden beast` number, since 9 + 8 + 0 + 557 + 92 = 666.

It is a super-2 number, since 2×980557922 = 19229876689494528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98055791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1607442 + ... + 1607502.

It is an arithmetic number, because the mean of its divisors is an integer number (3576842).

Almost surely, 298055792 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 98055792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143073680).

98055792 is an abundant number, since it is smaller than the sum of its proper divisors (188091568).

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

98055792 is an frugal number, since it uses more digits than its factorization.

98055792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 66 counting only the distinct ones).

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

The square root of 98055792 is about 9902.3124571991. The cubic root of 98055792 is about 461.1311042615.

The spelling of 98055792 in words is "ninety-eight million, fifty-five thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 61 72 108 122 144 183 216 244 366 432 488 549 732 976 1098 1464 1647 2196 2928 3294 3721 4392 6588 7442 8784 11163 13176 14884 22326 26352 29768 33489 44652 59536 66978 89304 100467 133956 178608 200934 226981 267912 401868 453962 535824 680943 803736 907924 1361886 1607472 1815848 2042829 2723772 3631696 4085658 5447544 6128487 8171316 10895088 12256974 16342632 24513948 32685264 49027896 98055792