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98952568 = 231113671291
BaseRepresentation
bin1011110010111…
…10010101111000
320220012022101221
411321132111320
5200312440233
613452521424
72311040311
oct571362570
9226168357
1098952568
1150946590
1229180274
1317667b20
14d1db608
158a4942d
hex5e5e578

98952568 has 64 divisors (see below), whose sum is σ = 221397120. Its totient is φ = 40867200.

The previous prime is 98952559. The next prime is 98952583. The reversal of 98952568 is 86525989.

It is a super-2 number, since 2×989525682 = 19583221427589248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

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, 76003 + ... + 77293.

It is an arithmetic number, because the mean of its divisors is an integer number (3459330).

Almost surely, 298952568 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 98952568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110698560).

98952568 is an abundant number, since it is smaller than the sum of its proper divisors (122444552).

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

98952568 is a wasteful number, since it uses less digits than its factorization.

98952568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388 (or 1384 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 52.

The square root of 98952568 is about 9947.4905378191. The cubic root of 98952568 is about 462.5326091447.

The spelling of 98952568 in words is "ninety-eight million, nine hundred fifty-two thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 11 13 22 26 44 52 67 88 104 134 143 268 286 536 572 737 871 1144 1291 1474 1742 2582 2948 3484 5164 5896 6968 9581 10328 14201 16783 19162 28402 33566 38324 56804 67132 76648 86497 113608 134264 172994 184613 345988 369226 691976 738452 951467 1124461 1476904 1902934 2248922 3805868 4497844 7611736 8995688 12369071 24738142 49476284 98952568