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98908992 = 26337131737
BaseRepresentation
bin1011110010100…
…11101101000000
320220010002122000
411321103231000
5200310041432
613451544000
72310466260
oct571235500
9226102560
1098908992
1150916876
122915b000
1317651040
14d1c97a0
158a3b57c
hex5e53b40

98908992 has 448 divisors, whose sum is σ = 389168640. Its totient is φ = 23887872.

The previous prime is 98908991. The next prime is 98909021. The reversal of 98908992 is 29980989.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98908991) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2673198 + ... + 2673234.

It is an arithmetic number, because the mean of its divisors is an integer number (868680).

Almost surely, 298908992 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 98908992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194584320).

98908992 is an abundant number, since it is smaller than the sum of its proper divisors (290259648).

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

98908992 is a wasteful number, since it uses less digits than its factorization.

98908992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 54.

The square root of 98908992 is about 9945.2999954752. The cubic root of 98908992 is about 462.4647036127.

The spelling of 98908992 in words is "ninety-eight million, nine hundred eight thousand, nine hundred ninety-two".