Search a number
-
+
985413618 = 232741512
BaseRepresentation
bin111010101111000…
…011011111110010
32112200020012100200
4322233003133302
54004231213433
6241440500030
733263610000
oct7257033762
92480205320
10985413618
11466270922
1223601a616
13129200ba7
1494c31a70
155b79e613
hex3abc37f2

985413618 has 90 divisors (see below), whose sum is σ = 2507362767. Its totient is φ = 279682200.

The previous prime is 985413617. The next prime is 985413623. The reversal of 985413618 is 816314589.

985413618 is a `hidden beast` number, since 98 + 541 + 3 + 6 + 18 = 666.

It can be written as a sum of positive squares in only one way, i.e., 492706809 + 492706809 = 22197^2 + 22197^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=22197.

It is not an unprimeable number, because it can be changed into a prime (985413613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6525843 + ... + 6525993.

Almost surely, 2985413618 is an apocalyptic number.

985413618 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 985413618

985413618 is an abundant number, since it is smaller than the sum of its proper divisors (1521949149).

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

985413618 is an equidigital number, since it uses as much as digits as its factorization.

985413618 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 163 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 985413618 is about 31391.2984439956. The cubic root of 985413618 is about 995.1140389313.

The spelling of 985413618 in words is "nine hundred eighty-five million, four hundred thirteen thousand, six hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 151 294 302 343 441 453 686 882 906 1029 1057 1359 2058 2114 2401 2718 3087 3171 4802 6174 6342 7203 7399 9513 14406 14798 19026 21609 22197 22801 43218 44394 45602 51793 66591 68403 103586 133182 136806 155379 159607 205209 310758 319214 362551 410418 466137 478821 725102 932274 957642 1087653 1117249 1436463 2175306 2234498 2872926 3262959 3351747 6525918 6703494 7820743 10055241 15641486 20110482 23462229 46924458 54745201 70386687 109490402 140773374 164235603 328471206 492706809 985413618