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98242240 = 265337911
BaseRepresentation
bin1011101101100…
…00111011000000
320211212020000111
411312300323000
5200122222430
613425401104
72302021345
oct566607300
9224766014
1098242240
1150500938
1228a99194
1317479705
14d0947cc
158958c2a
hex5db0ec0

98242240 has 56 divisors (see below), whose sum is σ = 234891072. Its totient is φ = 39137280.

The previous prime is 98242237. The next prime is 98242241. The reversal of 98242240 is 4224289.

98242240 = 262 + 272 + ... + 6652.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (98242241) 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 7 ways as a sum of consecutive naturals, for example, 107385 + ... + 108295.

Almost surely, 298242240 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 98242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117445536).

98242240 is an abundant number, since it is smaller than the sum of its proper divisors (136648832).

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

98242240 is a wasteful number, since it uses less digits than its factorization.

98242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 98242240 is about 9911.7223528507. The cubic root of 98242240 is about 461.4231914984.

The spelling of 98242240 in words is "ninety-eight million, two hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 337 674 911 1348 1685 1822 2696 3370 3644 4555 5392 6740 7288 9110 10784 13480 14576 18220 21568 26960 29152 36440 53920 58304 72880 107840 145760 291520 307007 614014 1228028 1535035 2456056 3070070 4912112 6140140 9824224 12280280 19648448 24560560 49121120 98242240