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98279142 = 231317137541
BaseRepresentation
bin1011101101110…
…01111011100110
320211221002122020
411312321323212
5200124413032
613430244010
72302234053
oct566717346
9224832566
1098279142
1150526635
1228ab6606
1317490450
14d0a402a
158964b2c
hex5db9ee6

98279142 has 64 divisors (see below), whose sum is σ = 226183104. Its totient is φ = 28200960.

The previous prime is 98279131. The next prime is 98279147. The reversal of 98279142 is 24197289.

It is a junction number, because it is equal to n+sod(n) for n = 98279094 and 98279103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98279147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181392 + ... + 181932.

It is an arithmetic number, because the mean of its divisors is an integer number (3534111).

Almost surely, 298279142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98279142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113091552).

98279142 is an abundant number, since it is smaller than the sum of its proper divisors (127903962).

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

98279142 is a wasteful number, since it uses less digits than its factorization.

98279142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713.

The product of its digits is 72576, while the sum is 42.

The square root of 98279142 is about 9913.5837112520. The cubic root of 98279142 is about 461.4809579171.

The spelling of 98279142 in words is "ninety-eight million, two hundred seventy-nine thousand, one hundred forty-two".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 137 221 274 411 442 541 663 822 1082 1326 1623 1781 2329 3246 3562 4658 5343 6987 7033 9197 10686 13974 14066 18394 21099 27591 30277 42198 55182 60554 74117 90831 119561 148234 181662 222351 239122 358683 444702 717366 963521 1259989 1927042 2519978 2890563 3779967 5781126 7559934 16379857 32759714 49139571 98279142