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98620416 = 210342941
BaseRepresentation
bin1011110000011…
…01010000000000
320212120102210000
411320031100000
5200221323131
613441440000
72305155036
oct570152000
9225512700
1098620416
1150739a84
1229040000
131757c89b
14d152556
1589d0ce6
hex5e0d400

98620416 has 220 divisors, whose sum is σ = 312085620. Its totient is φ = 30965760.

The previous prime is 98620399. The next prime is 98620421. The reversal of 98620416 is 61402689.

It can be written as a sum of positive squares in 2 ways, for example, as 23970816 + 74649600 = 4896^2 + 8640^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2405356 + ... + 2405396.

It is an arithmetic number, because the mean of its divisors is an integer number (1418571).

Almost surely, 298620416 is an apocalyptic number.

98620416 is a gapful number since it is divisible by the number (96) 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 98620416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156042810).

98620416 is an abundant number, since it is smaller than the sum of its proper divisors (213465204).

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

98620416 is a wasteful number, since it uses less digits than its factorization.

98620416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 98620416 is about 9930.7812381504. The cubic root of 98620416 is about 462.0145045202.

The spelling of 98620416 in words is "ninety-eight million, six hundred twenty thousand, four hundred sixteen".