Search a number
-
+
98785568 = 25722512
BaseRepresentation
bin1011110001101…
…01100100100000
320212212211022202
411320311210200
5200242114233
613445152332
72306443400
oct570654440
9225784282
1098785568
1150842072
12290bb6a8
1317609acb
14d196800
158a14be8
hex5e35920

98785568 has 54 divisors (see below), whose sum is σ = 227141523. Its totient is φ = 42168000.

The previous prime is 98785543. The next prime is 98785573. The reversal of 98785568 is 86558789.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 49392784 + 49392784 = 7028^2 + 7028^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=7028.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 393443 + ... + 393693.

Almost surely, 298785568 is an apocalyptic number.

98785568 is a gapful number since it is divisible by the number (98) 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 98785568

98785568 is an abundant number, since it is smaller than the sum of its proper divisors (128355955).

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

98785568 is an equidigital number, since it uses as much as digits as its factorization.

98785568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 260 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 56.

The square root of 98785568 is about 9939.0929163581. The cubic root of 98785568 is about 462.2722607043.

The spelling of 98785568 in words is "ninety-eight million, seven hundred eighty-five thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 251 392 502 784 1004 1568 1757 2008 3514 4016 7028 8032 12299 14056 24598 28112 49196 56224 63001 98392 126002 196784 252004 393568 441007 504008 882014 1008016 1764028 2016032 3087049 3528056 6174098 7056112 12348196 14112224 24696392 49392784 98785568