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98026656 = 2537313229
BaseRepresentation
bin1011101011111…
…00010010100000
320211110021021220
411311330102200
5200043323111
613421015040
72300133000
oct565742240
9224407256
1098026656
1150373972
12289b4480
1317402550
14d03a000
158914e06
hex5d7c4a0

98026656 has 192 divisors, whose sum is σ = 324576000. Its totient is φ = 25740288.

The previous prime is 98026637. The next prime is 98026657. The reversal of 98026656 is 65662089.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (98026657) 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 31 ways as a sum of consecutive naturals, for example, 427950 + ... + 428178.

It is an arithmetic number, because the mean of its divisors is an integer number (1690500).

Almost surely, 298026656 is an apocalyptic number.

98026656 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 98026656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162288000).

98026656 is an abundant number, since it is smaller than the sum of its proper divisors (226549344).

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

98026656 is a wasteful number, since it uses less digits than its factorization.

98026656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 98026656 is about 9900.8411763850. The cubic root of 98026656 is about 461.0854267055.

The spelling of 98026656 in words is "ninety-eight million, twenty-six thousand, six hundred fifty-six".