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98725248 = 2732431993
BaseRepresentation
bin1011110001001…
…10110110000000
320212202202120200
411320212312000
5200233201443
613444005200
72306102466
oct570466600
9225682520
1098725248
1150800816
1229090800
13175b850b
14d17c836
158a01dd3
hex5e26d80

98725248 has 96 divisors (see below), whose sum is σ = 290844840. Its totient is φ = 32126976.

The previous prime is 98725229. The next prime is 98725259. The reversal of 98725248 is 84252789.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48540 + ... + 50532.

Almost surely, 298725248 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 98725248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145422420).

98725248 is an abundant number, since it is smaller than the sum of its proper divisors (192119592).

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

98725248 is a wasteful number, since it uses less digits than its factorization.

98725248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2056 (or 2041 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 98725248 is about 9936.0579708454. The cubic root of 98725248 is about 462.1781513428.

The spelling of 98725248 in words is "ninety-eight million, seven hundred twenty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 128 129 144 172 192 258 288 344 384 387 516 576 688 774 1032 1152 1376 1548 1993 2064 2752 3096 3986 4128 5504 5979 6192 7972 8256 11958 12384 15944 16512 17937 23916 24768 31888 35874 47832 49536 63776 71748 85699 95664 127552 143496 171398 191328 255104 257097 286992 342796 382656 514194 573984 685592 765312 771291 1028388 1147968 1371184 1542582 2056776 2295936 2742368 3085164 4113552 5484736 6170328 8227104 10969472 12340656 16454208 24681312 32908416 49362624 98725248