Search a number
-
+
98888832 = 2732712263
BaseRepresentation
bin1011110010011…
…10110010000000
320220002001222100
411321032302000
5200303420312
613451310400
72310353430
oct571166200
9226061870
1098888832
1150902709
122914b400
1317644b03
14d1c22c0
158a355dc
hex5e4ec80

98888832 has 96 divisors (see below), whose sum is σ = 325241280. Its totient is φ = 28251648.

The previous prime is 98888819. The next prime is 98888837. The reversal of 98888832 is 23888889.

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

It is a super-3 number, since 3×988888323 (a number of 25 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (98888837) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1933 + ... + 14195.

It is an arithmetic number, because the mean of its divisors is an integer number (3387930).

Almost surely, 298888832 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 98888832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162620640).

98888832 is an abundant number, since it is smaller than the sum of its proper divisors (226352448).

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

98888832 is a wasteful number, since it uses less digits than its factorization.

98888832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12290 (or 12275 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 54.

The square root of 98888832 is about 9944.2863997373. The cubic root of 98888832 is about 462.4332810502.

The spelling of 98888832 in words is "ninety-eight million, eight hundred eighty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 12263 24526 36789 49052 73578 85841 98104 110367 147156 171682 196208 220734 257523 294312 343364 392416 441468 515046 588624 686728 772569 784832 882936 1030092 1177248 1373456 1545138 1569664 1765872 2060184 2354496 2746912 3090276 3531744 4120368 4708992 5493824 6180552 7063488 8240736 10987648 12361104 14126976 16481472 24722208 32962944 49444416 98888832