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98942896 = 24132947349
BaseRepresentation
bin1011110010110…
…11111110110000
320220011211010201
411321123332300
5200312133041
613452404544
72311000153
oct571337660
9226154121
1098942896
115093a298
1229176754
13176635c0
14d1d7c9a
158a46631
hex5e5bfb0

98942896 has 80 divisors (see below), whose sum is σ = 218736000. Its totient is φ = 43029504.

The previous prime is 98942887. The next prime is 98942903. The reversal of 98942896 is 69824989.

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 15 ways as a sum of consecutive naturals, for example, 283330 + ... + 283678.

It is an arithmetic number, because the mean of its divisors is an integer number (2734200).

Almost surely, 298942896 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 98942896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109368000).

98942896 is an abundant number, since it is smaller than the sum of its proper divisors (119793104).

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

98942896 is a wasteful number, since it uses less digits than its factorization.

98942896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 440 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 55.

The square root of 98942896 is about 9947.0043731769. The cubic root of 98942896 is about 462.5175387554.

The spelling of 98942896 in words is "ninety-eight million, nine hundred forty-two thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 29 47 52 58 94 104 116 188 208 232 349 376 377 464 611 698 752 754 1222 1363 1396 1508 2444 2726 2792 3016 4537 4888 5452 5584 6032 9074 9776 10121 10904 16403 17719 18148 20242 21808 32806 35438 36296 40484 65612 70876 72592 80968 131224 131573 141752 161936 213239 262448 263146 283504 426478 475687 526292 852956 951374 1052584 1705912 1902748 2105168 3411824 3805496 6183931 7610992 12367862 24735724 49471448 98942896