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98442800 = 24521912953
BaseRepresentation
bin1011101111000…
…01111000110000
320212020102010122
411313201320300
5200200132200
613433545412
72303515151
oct567417060
9225212118
1098442800
1150628595
1228b75268
1317519aa1
14d107928
158998385
hex5de1e30

98442800 has 60 divisors (see below), whose sum is σ = 248975880. Its totient is φ = 37301760.

The previous prime is 98442797. The next prime is 98442803. The reversal of 98442800 is 824489.

It is an interprime number because it is at equal distance from previous prime (98442797) and next prime (98442803).

It is not an unprimeable number, because it can be changed into a prime (98442803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1124 + ... + 14076.

It is an arithmetic number, because the mean of its divisors is an integer number (4149598).

Almost surely, 298442800 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 98442800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124487940).

98442800 is an abundant number, since it is smaller than the sum of its proper divisors (150533080).

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

98442800 is a wasteful number, since it uses less digits than its factorization.

98442800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12990 (or 12979 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 98442800 is about 9921.8345077914. The cubic root of 98442800 is about 461.7369741495.

The spelling of 98442800 in words is "ninety-eight million, four hundred forty-two thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 152 190 200 304 380 400 475 760 950 1520 1900 3800 7600 12953 25906 51812 64765 103624 129530 207248 246107 259060 323825 492214 518120 647650 984428 1036240 1230535 1295300 1968856 2461070 2590600 3937712 4922140 5181200 6152675 9844280 12305350 19688560 24610700 49221400 98442800