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98261152 = 25112353229
BaseRepresentation
bin1011101101101…
…01100010100000
320211220011221221
411312311202200
5200123324102
613430024424
72302130443
oct566654240
9224804857
1098261152
1150514070
1228aa8114
13174851c2
14d09b65a
15895e637
hex5db58a0

98261152 has 96 divisors (see below), whose sum is σ = 225348480. Its totient is φ = 41733120.

The previous prime is 98261147. The next prime is 98261153. The reversal of 98261152 is 25116289.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98261153) 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 15 ways as a sum of consecutive naturals, for example, 428974 + ... + 429202.

It is an arithmetic number, because the mean of its divisors is an integer number (2347380).

Almost surely, 298261152 is an apocalyptic number.

98261152 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98261152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112674240).

98261152 is an abundant number, since it is smaller than the sum of its proper divisors (127087328).

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

98261152 is a wasteful number, since it uses less digits than its factorization.

98261152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 318 counting only the distinct ones).

The product of its digits is 8640, while the sum is 34.

The square root of 98261152 is about 9912.6763288226. The cubic root of 98261152 is about 461.4527981642.

The spelling of 98261152 in words is "ninety-eight million, two hundred sixty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 53 88 92 106 176 184 212 229 253 352 368 424 458 506 583 736 848 916 1012 1166 1219 1696 1832 2024 2332 2438 2519 3664 4048 4664 4876 5038 5267 7328 8096 9328 9752 10076 10534 12137 13409 18656 19504 20152 21068 24274 26818 39008 40304 42136 48548 53636 57937 80608 84272 97096 107272 115874 133507 168544 194192 214544 231748 267014 279151 388384 429088 463496 534028 558302 926992 1068056 1116604 1853984 2136112 2233208 3070661 4272224 4466416 6141322 8932832 12282644 24565288 49130576 98261152