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98381568 = 283532417
BaseRepresentation
bin1011101110100…
…10111100000000
320212010022010210
411313102330000
5200141202233
613432354120
72303141505
oct567227400
9225108123
1098381568
115059658a
1228b45940
13174c7c5c
14d0cd4ac
158985163
hex5dd2f00

98381568 has 72 divisors (see below), whose sum is σ = 266889168. Its totient is φ = 32161792.

The previous prime is 98381551. The next prime is 98381597. The reversal of 98381568 is 86518389.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39496 + ... + 41912.

It is an arithmetic number, because the mean of its divisors is an integer number (3706794).

Almost surely, 298381568 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 98381568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133444584).

98381568 is an abundant number, since it is smaller than the sum of its proper divisors (168507600).

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

98381568 is a wasteful number, since it uses less digits than its factorization.

98381568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2489 (or 2475 counting only the distinct ones).

The product of its digits is 414720, while the sum is 48.

The square root of 98381568 is about 9918.7483081284. The cubic root of 98381568 is about 461.6412199233.

The spelling of 98381568 in words is "ninety-eight million, three hundred eighty-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 256 318 384 424 636 768 848 1272 1696 2417 2544 3392 4834 5088 6784 7251 9668 10176 13568 14502 19336 20352 29004 38672 40704 58008 77344 116016 128101 154688 232032 256202 309376 384303 464064 512404 618752 768606 928128 1024808 1537212 1856256 2049616 3074424 4099232 6148848 8198464 12297696 16396928 24595392 32793856 49190784 98381568