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98031336 = 233131923719
BaseRepresentation
bin1011101011111…
…01011011101000
320211110111201020
411311331123220
5200044000321
613421052440
72300152434
oct565753350
9224414636
1098031336
1150377437
12289b7120
1317404710
14d03b9c4
1589164c6
hex5d7d6e8

98031336 has 128 divisors (see below), whose sum is σ = 290304000. Its totient is φ = 27295488.

The previous prime is 98031301. The next prime is 98031341. The reversal of 98031336 is 63313089.

It is a super-2 number, since 2×980313362 = 19220285675889792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 98031297 and 98031306.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 135985 + ... + 136703.

It is an arithmetic number, because the mean of its divisors is an integer number (2268000).

Almost surely, 298031336 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 98031336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145152000).

98031336 is an abundant number, since it is smaller than the sum of its proper divisors (192272664).

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

98031336 is a wasteful number, since it uses less digits than its factorization.

98031336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 98031336 is about 9901.0775171190. The cubic root of 98031336 is about 461.0927643200.

The spelling of 98031336 in words is "ninety-eight million, thirty-one thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 19 23 24 26 38 39 46 52 57 69 76 78 92 104 114 138 152 156 184 228 247 276 299 312 437 456 494 552 598 719 741 874 897 988 1196 1311 1438 1482 1748 1794 1976 2157 2392 2622 2876 2964 3496 3588 4314 5244 5681 5752 5928 7176 8628 9347 10488 11362 13661 16537 17043 17256 18694 22724 27322 28041 33074 34086 37388 40983 45448 49611 54644 56082 66148 68172 74776 81966 99222 109288 112164 132296 136344 163932 177593 198444 214981 224328 314203 327864 355186 396888 429962 532779 628406 644943 710372 859924 942609 1065558 1256812 1289886 1420744 1719848 1885218 2131116 2513624 2579772 3770436 4084639 4262232 5159544 7540872 8169278 12253917 16338556 24507834 32677112 49015668 98031336