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98888144 = 242927349
BaseRepresentation
bin1011110010011…
…10100111010000
320220002001000212
411321032213100
5200303410034
613451303252
72310351425
oct571164720
9226061025
1098888144
1150902143
122914ab28
13176446c4
14d1c1d4c
158a352ce
hex5e4e9d0

98888144 has 30 divisors (see below), whose sum is σ = 198457350. Its totient is φ = 47732608.

The previous prime is 98888143. The next prime is 98888159. The reversal of 98888144 is 44188889.

It can be written as a sum of positive squares in 3 ways, for example, as 23892544 + 74995600 = 4888^2 + 8660^2 .

It is a junction number, because it is equal to n+sod(n) for n = 98888092 and 98888101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98888143) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9782 + ... + 17130.

It is an arithmetic number, because the mean of its divisors is an integer number (6615245).

Almost surely, 298888144 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 98888144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99228675).

98888144 is an abundant number, since it is smaller than the sum of its proper divisors (99569206).

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

98888144 is a wasteful number, since it uses less digits than its factorization.

98888144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7415 (or 7380 counting only the distinct ones).

The product of its digits is 589824, while the sum is 50.

The square root of 98888144 is about 9944.2518069486. The cubic root of 98888144 is about 462.4322086176.

The spelling of 98888144 in words is "ninety-eight million, eight hundred eighty-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 58 116 232 464 841 1682 3364 6728 7349 13456 14698 29396 58792 117584 213121 426242 852484 1704968 3409936 6180509 12361018 24722036 49444072 98888144