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98993856 = 26313172333
BaseRepresentation
bin1011110011010…
…00011011000000
320220021102001010
411321220123000
5200320300411
613453440520
72311301553
oct571503300
9226242033
1098993856
1150974605
12291a0140
1317680860
14d20c69a
158a567a6
hex5e686c0

98993856 has 112 divisors (see below), whose sum is σ = 298789344. Its totient is φ = 28655616.

The previous prime is 98993831. The next prime is 98993893. The reversal of 98993856 is 65839989.

It is a junction number, because it is equal to n+sod(n) for n = 98993796 and 98993805.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41266 + ... + 43598.

It is an arithmetic number, because the mean of its divisors is an integer number (2667762).

Almost surely, 298993856 is an apocalyptic number.

98993856 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98993856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149394672).

98993856 is an abundant number, since it is smaller than the sum of its proper divisors (199795488).

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

98993856 is a wasteful number, since it uses less digits than its factorization.

98993856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2378 (or 2368 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 57.

The square root of 98993856 is about 9949.5656186589. The cubic root of 98993856 is about 462.5969308404.

The spelling of 98993856 in words is "ninety-eight million, nine hundred ninety-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 136 156 192 204 208 221 272 312 408 416 442 544 624 663 816 832 884 1088 1248 1326 1632 1768 2333 2496 2652 3264 3536 4666 5304 6999 7072 9332 10608 13998 14144 18664 21216 27996 30329 37328 39661 42432 55992 60658 74656 79322 90987 111984 118983 121316 149312 158644 181974 223968 237966 242632 317288 363948 447936 475932 485264 515593 634576 727896 951864 970528 1031186 1269152 1455792 1546779 1903728 1941056 2062372 2538304 2911584 3093558 3807456 4124744 5823168 6187116 7614912 8249488 12374232 16498976 24748464 32997952 49496928 98993856