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4082640192 = 26332362639
BaseRepresentation
bin1111001101011000…
…0010010101000000
3101112112012121111000
43303112002111000
531330123441232
61513041052000
7203112604041
oct36326022500
911475177430
104082640192
1118055a9004
1295b327000
13500a97737
142aa3068c8
1518d64b27c
hexf3582540

4082640192 has 56 divisors (see below), whose sum is σ = 12002211200. Its totient is φ = 1360879488.

The previous prime is 4082640187. The next prime is 4082640193. The reversal of 4082640192 is 2910462804.

4082640192 is a `hidden beast` number, since 4 + 0 + 8 + 2 + 640 + 1 + 9 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4082640193) 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 7 ways as a sum of consecutive naturals, for example, 1179592 + ... + 1183047.

It is an arithmetic number, because the mean of its divisors is an integer number (214325200).

Almost surely, 24082640192 is an apocalyptic number.

It is an amenable number.

4082640192 is an abundant number, since it is smaller than the sum of its proper divisors (7919571008).

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

4082640192 is a wasteful number, since it uses less digits than its factorization.

4082640192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2362660 (or 2362644 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4082640192 is about 63895.5412528918. The cubic root of 4082640192 is about 1598.2585469426.

It can be divided in two parts, 40826 and 40192, that added together give a palindrome (81018).

The spelling of 4082640192 in words is "four billion, eighty-two million, six hundred forty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 2362639 4725278 7087917 9450556 14175834 18901112 21263751 28351668 37802224 42527502 56703336 63791253 75604448 85055004 113406672 127582506 151208896 170110008 226813344 255165012 340220016 453626688 510330024 680440032 1020660048 1360880064 2041320096 4082640192