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98982432 = 25331723293
BaseRepresentation
bin1011110011001…
…01101000100000
320220020211101000
411321211220200
5200314414212
613453312000
72311223343
oct571455040
9226224330
1098982432
1150966a6a
1229195600
13176785b3
14d20845a
158a531dc
hex5e65a20

98982432 has 192 divisors, whose sum is σ = 320060160. Its totient is φ = 29601792.

The previous prime is 98982427. The next prime is 98982451. The reversal of 98982432 is 23428989.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 337678 + ... + 337970.

It is an arithmetic number, because the mean of its divisors is an integer number (1666980).

Almost surely, 298982432 is an apocalyptic number.

98982432 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98982432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160030080).

98982432 is an abundant number, since it is smaller than the sum of its proper divisors (221077728).

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

98982432 is a wasteful number, since it uses less digits than its factorization.

98982432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 338 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 98982432 is about 9948.9915066805. The cubic root of 98982432 is about 462.5791354241.

It can be divided in two parts, 9 and 8982432, that added together give a triangular number (8982441 = T4238).

The spelling of 98982432 in words is "ninety-eight million, nine hundred eighty-two thousand, four hundred thirty-two".