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98128836 = 22321321272
BaseRepresentation
bin1011101100101…
…01001111000100
320211122110110100
411312111033010
5200110110321
613423124100
72301036621
oct566251704
9224573410
1098128836
1150433713
1228a43630
1317439c00
14d065348
158935326
hex5d953c4

98128836 has 81 divisors (see below), whose sum is σ = 270727821. Its totient is φ = 29955744.

The previous prime is 98128831. The next prime is 98128841. The reversal of 98128836 is 63882189.

The square root of 98128836 is 9906.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (98128831) and next prime (98128841).

It can be written as a sum of positive squares in only one way, i.e., 14516100 + 83612736 = 3810^2 + 9144^2 .

It is a junction number, because it is equal to n+sod(n) for n = 98128791 and 98128800.

It is not an unprimeable number, because it can be changed into a prime (98128831) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 772605 + ... + 772731.

Almost surely, 298128836 is an apocalyptic number.

98128836 is the 9906-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98128836

98128836 is an abundant number, since it is smaller than the sum of its proper divisors (172598985).

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

98128836 is a wasteful number, since it uses less digits than its factorization.

98128836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 145 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The cubic root of 98128836 is about 461.2455782069.

The spelling of 98128836 in words is "ninety-eight million, one hundred twenty-eight thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 127 156 169 234 254 338 381 468 507 508 676 762 1014 1143 1521 1524 1651 2028 2286 3042 3302 4572 4953 6084 6604 9906 14859 16129 19812 21463 29718 32258 42926 48387 59436 64389 64516 85852 96774 128778 145161 193167 193548 209677 257556 290322 386334 419354 580644 629031 772668 838708 1258062 1887093 2516124 2725801 3774186 5451602 7548372 8177403 10903204 16354806 24532209 32709612 49064418 98128836