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98690944 = 2711292417
BaseRepresentation
bin1011110000111…
…10011110000000
320212201000112011
411320132132000
5200231102234
613443142304
72305600462
oct570363600
9225630464
1098690944
1150787a70
1229074994
13175a5a11
14d170132
1589e6b64
hex5e1e780

98690944 has 64 divisors (see below), whose sum is σ = 221972400. Its totient is φ = 43294720.

The previous prime is 98690939. The next prime is 98690971. The reversal of 98690944 is 44909689.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×986909442 = 19479804855222272, which contains 22 as substring.

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, 39624 + ... + 42040.

Almost surely, 298690944 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 98690944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110986200).

98690944 is an abundant number, since it is smaller than the sum of its proper divisors (123281456).

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

98690944 is a wasteful number, since it uses less digits than its factorization.

98690944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2471 (or 2459 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 49.

The square root of 98690944 is about 9934.3315829501. The cubic root of 98690944 is about 462.1246142240.

The spelling of 98690944 in words is "ninety-eight million, six hundred ninety thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 128 176 232 319 352 464 638 704 928 1276 1408 1856 2417 2552 3712 4834 5104 9668 10208 19336 20416 26587 38672 40832 53174 70093 77344 106348 140186 154688 212696 280372 309376 425392 560744 771023 850784 1121488 1542046 1701568 2242976 3084092 3403136 4485952 6168184 8971904 12336368 24672736 49345472 98690944