Search a number
-
+
98263488 = 2632512039
BaseRepresentation
bin1011101101101…
…10000111000000
320211220022011110
411312312013000
5200123412423
613430043320
72302140321
oct566660700
9224808143
1098263488
11505158a4
1228aa9540
131748629b
14d09c448
158960193
hex5db61c0

98263488 has 56 divisors (see below), whose sum is σ = 261152640. Its totient is φ = 32608000.

The previous prime is 98263469. The next prime is 98263489. The reversal of 98263488 is 88436289.

It is a happy number.

It is a super-2 number, since 2×982634882 = 19311426147852288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98263489) 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, 47173 + ... + 49211.

It is an arithmetic number, because the mean of its divisors is an integer number (4663440).

Almost surely, 298263488 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 98263488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130576320).

98263488 is an abundant number, since it is smaller than the sum of its proper divisors (162889152).

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

98263488 is a wasteful number, since it uses less digits than its factorization.

98263488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2305 (or 2295 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 98263488 is about 9912.7941570477. The cubic root of 98263488 is about 461.4564548999.

The spelling of 98263488 in words is "ninety-eight million, two hundred sixty-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 251 502 753 1004 1506 2008 2039 3012 4016 4078 6024 6117 8032 8156 12048 12234 16064 16312 24096 24468 32624 48192 48936 65248 97872 130496 195744 391488 511789 1023578 1535367 2047156 3070734 4094312 6141468 8188624 12282936 16377248 24565872 32754496 49131744 98263488