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816432040 = 23520410801
BaseRepresentation
bin110000101010011…
…100001110101000
32002220021001012201
4300222130032220
53133001311130
6213002545544
726142362224
oct6052341650
92086231181
10816432040
11389944526
121a95082b4
131001b72a8
147a605784
154ba20bca
hex30a9c3a8

816432040 has 16 divisors (see below), whose sum is σ = 1836972180. Its totient is φ = 326572800.

The previous prime is 816432037. The next prime is 816432049. The reversal of 816432040 is 40234618.

It can be written as a sum of positive squares in 2 ways, for example, as 772951204 + 43480836 = 27802^2 + 6594^2 .

It is a super-2 number, since 2×8164320402 = 1333122551877123200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (816432049) 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 3 ways as a sum of consecutive naturals, for example, 10205361 + ... + 10205440.

Almost surely, 2816432040 is an apocalyptic number.

It is an amenable number.

816432040 is an abundant number, since it is smaller than the sum of its proper divisors (1020540140).

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

816432040 is a wasteful number, since it uses less digits than its factorization.

816432040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20410812 (or 20410808 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 816432040 is about 28573.2749260563. The cubic root of 816432040 is about 934.6306375621.

Adding to 816432040 its reverse (40234618), we get a palindrome (856666658).

It can be divided in two parts, 8164 and 32040, that added together give a palindrome (40204).

The spelling of 816432040 in words is "eight hundred sixteen million, four hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 20410801 40821602 81643204 102054005 163286408 204108010 408216020 816432040