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98995872 = 2539710631
BaseRepresentation
bin1011110011010…
…00111010100000
320220021111210210
411321220322200
5200320331442
613453454120
72311310463
oct571507240
9226244723
1098995872
1150976078
12291a1340
1317681751
14d20d2da
158a5719c
hex5e68ea0

98995872 has 48 divisors (see below), whose sum is σ = 262567872. Its totient is φ = 32655360.

The previous prime is 98995867. The next prime is 98995877. The reversal of 98995872 is 27859989.

It is an interprime number because it is at equal distance from previous prime (98995867) and next prime (98995877).

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (98995877) 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, 3997 + ... + 14627.

It is an arithmetic number, because the mean of its divisors is an integer number (5470164).

Almost surely, 298995872 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 98995872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131283936).

98995872 is an abundant number, since it is smaller than the sum of its proper divisors (163572000).

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

98995872 is a wasteful number, since it uses less digits than its factorization.

98995872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10741 (or 10733 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 57.

The square root of 98995872 is about 9949.6669290987. Note that the first 3 decimals coincide. The cubic root of 98995872 is about 462.6000710658.

The spelling of 98995872 in words is "ninety-eight million, nine hundred ninety-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 97 194 291 388 582 776 1164 1552 2328 3104 4656 9312 10631 21262 31893 42524 63786 85048 127572 170096 255144 340192 510288 1020576 1031207 2062414 3093621 4124828 6187242 8249656 12374484 16499312 24748968 32998624 49497936 98995872