Search a number
-
+
98000058 = 23132127761
BaseRepresentation
bin1011101011101…
…01110010111010
320211101220210210
411311311302322
5200042000213
613420251550
72266662312
oct565656272
9224356723
1098000058
1150355992
12289a0bb6
13173c3400
14d030442
15890c0c3
hex5d75cba

98000058 has 48 divisors (see below), whose sum is σ = 214189056. Its totient is φ = 29877120.

The previous prime is 98000051. The next prime is 98000059. The reversal of 98000058 is 85000089.

It is a super-2 number, since 2×980000582 = 19208022736006728, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 97999989 and 98000034.

It is not an unprimeable number, because it can be changed into a prime (98000051) 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 23 ways as a sum of consecutive naturals, for example, 128398 + ... + 129158.

It is an arithmetic number, because the mean of its divisors is an integer number (4462272).

Almost surely, 298000058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98000058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107094528).

98000058 is an abundant number, since it is smaller than the sum of its proper divisors (116188998).

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

98000058 is a wasteful number, since it uses less digits than its factorization.

98000058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 98000058 is about 9899.4978660536. The cubic root of 98000058 is about 461.0437201600.

The spelling of 98000058 in words is "ninety-eight million, fifty-eight", and thus it is an aban number and an uban number.

Divisors: 1 2 3 6 13 26 39 78 127 169 254 338 381 507 761 762 1014 1522 1651 2283 3302 4566 4953 9893 9906 19786 21463 29679 42926 59358 64389 96647 128609 128778 193294 257218 289941 385827 579882 771654 1256411 2512822 3769233 7538466 16333343 32666686 49000029 98000058