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98000928 = 25364201
BaseRepresentation
bin1011101011101…
…10000000100000
320211101222000000
411311312000200
5200042012203
613420300000
72266664664
oct565660040
9224358000
1098000928
1150356603
12289a1600
13173c391c
14d0308a4
15890c4a3
hex5d76020

98000928 has 84 divisors (see below), whose sum is σ = 289345518. Its totient is φ = 32659200.

The previous prime is 98000927. The next prime is 98000939. The reversal of 98000928 is 82900089.

It can be written as a sum of positive squares in only one way, i.e., 96589584 + 1411344 = 9828^2 + 1188^2 .

It is a super-2 number, since 2×980009282 = 19208363777722368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 98000892 and 98000901.

It is not an unprimeable number, because it can be changed into a prime (98000927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 21228 + ... + 25428.

Almost surely, 298000928 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 98000928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144672759).

98000928 is an abundant number, since it is smaller than the sum of its proper divisors (191344590).

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

98000928 is an equidigital number, since it uses as much as digits as its factorization.

98000928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4229 (or 4206 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 98000928 is about 9899.5418075788. The cubic root of 98000928 is about 461.0450844682.

The spelling of 98000928 in words is "ninety-eight million, nine hundred twenty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2592 2916 3888 4201 5832 7776 8402 11664 12603 16804 23328 25206 33608 37809 50412 67216 75618 100824 113427 134432 151236 201648 226854 302472 340281 403296 453708 604944 680562 907416 1020843 1209888 1361124 1814832 2041686 2722248 3062529 3629664 4083372 5444496 6125058 8166744 10888992 12250116 16333488 24500232 32666976 49000464 98000928