Search a number
-
+
98101256 = 231119232551
BaseRepresentation
bin1011101100011…
…10100000001000
320211121001121212
411312032200020
5200103220011
613422352252
72300563331
oct566164010
9224531555
1098101256
1150414a20
1228a2b688
131742a4a6
14d059288
15892c08b
hex5d8e808

98101256 has 64 divisors (see below), whose sum is σ = 220492800. Its totient is φ = 40392000.

The previous prime is 98101253. The next prime is 98101259. The reversal of 98101256 is 65210189.

It is an interprime number because it is at equal distance from previous prime (98101253) and next prime (98101259).

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (98101253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37181 + ... + 39731.

It is an arithmetic number, because the mean of its divisors is an integer number (3445200).

Almost surely, 298101256 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 98101256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110246400).

98101256 is an abundant number, since it is smaller than the sum of its proper divisors (122391544).

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

98101256 is a wasteful number, since it uses less digits than its factorization.

98101256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2610 (or 2606 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 32.

The square root of 98101256 is about 9904.6078165670. The cubic root of 98101256 is about 461.2023617391.

The spelling of 98101256 in words is "ninety-eight million, one hundred one thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 19 22 23 38 44 46 76 88 92 152 184 209 253 418 437 506 836 874 1012 1672 1748 2024 2551 3496 4807 5102 9614 10204 19228 20408 28061 38456 48469 56122 58673 96938 112244 117346 193876 224488 234692 387752 469384 533159 645403 1066318 1114787 1290806 2132636 2229574 2581612 4265272 4459148 5163224 8918296 12262657 24525314 49050628 98101256