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98125440 = 273573149
BaseRepresentation
bin1011101100101…
…00011010000000
320211122021210120
411312110122000
5200110003230
613423100240
72301024000
oct566243200
9224567716
1098125440
1150431106
1228a41680
13174384ba
14d064000
158934310
hex5d94680

98125440 has 256 divisors, whose sum is σ = 367200000. Its totient is φ = 22278144.

The previous prime is 98125409. The next prime is 98125463. The reversal of 98125440 is 4452189.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 658486 + ... + 658634.

It is an arithmetic number, because the mean of its divisors is an integer number (1434375).

Almost surely, 298125440 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 98125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183600000).

98125440 is an abundant number, since it is smaller than the sum of its proper divisors (269074560).

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

98125440 is a wasteful number, since it uses less digits than its factorization.

98125440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 98125440 is about 9905.8285872510. The cubic root of 98125440 is about 461.2402572835.

The spelling of 98125440 in words is "ninety-eight million, one hundred twenty-five thousand, four hundred forty".