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98138742 = 23131279907
BaseRepresentation
bin1011101100101…
…11101001110110
320211122222001020
411312113221312
5200110414432
613423242010
72301110532
oct566275166
9224588036
1098138742
11504400a9
1228a49306
1317441580
14d068bc2
15893822c
hex5d97a76

98138742 has 32 divisors (see below), whose sum is σ = 213061632. Its totient is φ = 29955744.

The previous prime is 98138731. The next prime is 98138749. The reversal of 98138742 is 24783189.

It is a junction number, because it is equal to n+sod(n) for n = 98138694 and 98138703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98138749) 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 15 ways as a sum of consecutive naturals, for example, 4953 + ... + 14859.

It is an arithmetic number, because the mean of its divisors is an integer number (6658176).

Almost surely, 298138742 is an apocalyptic number.

It is a pronic number, being equal to 9906×9907.

It is a practical number, because each smaller number is the sum of distinct divisors of 98138742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106530816).

98138742 is an abundant number, since it is smaller than the sum of its proper divisors (114922890).

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

98138742 is a wasteful number, since it uses less digits than its factorization.

98138742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10052.

The product of its digits is 96768, while the sum is 42.

The square root of 98138742 is about 9906.4999873820. The cubic root of 98138742 is about 461.2610984323.

The spelling of 98138742 in words is "ninety-eight million, one hundred thirty-eight thousand, seven hundred forty-two".

Divisors: 1 2 3 6 13 26 39 78 127 254 381 762 1651 3302 4953 9906 9907 19814 29721 59442 128791 257582 386373 772746 1258189 2516378 3774567 7549134 16356457 32712914 49069371 98138742