Search a number
-
+
982816164 = 2232112481859
BaseRepresentation
bin111010100101001…
…001010110100100
32112111100020022200
4322211021112210
54003100104124
6241305054500
733232541151
oct7245112644
92474306280
10982816164
11464857370
12235187430
13128801835
1494757228
155b439bc9
hex3a9495a4

982816164 has 36 divisors (see below), whose sum is σ = 2710191120. Its totient is φ = 297822960.

The previous prime is 982816141. The next prime is 982816171. The reversal of 982816164 is 461618289.

982816164 is a `hidden beast` number, since 9 + 8 + 28 + 1 + 616 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×9828161642 = 1931855224439349792, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1240534 + ... + 1241325.

Almost surely, 2982816164 is an apocalyptic number.

It is an amenable number.

982816164 is an abundant number, since it is smaller than the sum of its proper divisors (1727374956).

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

982816164 is a wasteful number, since it uses less digits than its factorization.

982816164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2481880 (or 2481875 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 982816164 is about 31349.8989472056. The cubic root of 982816164 is about 994.2389284579.

It can be divided in two parts, 9828161 and 64, that added together give a square (9828225 = 31352).

The spelling of 982816164 in words is "nine hundred eighty-two million, eight hundred sixteen thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 2481859 4963718 7445577 9927436 14891154 22336731 27300449 29782308 44673462 54600898 81901347 89346924 109201796 163802694 245704041 327605388 491408082 982816164