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2042710432 = 2573186107
BaseRepresentation
bin111100111000001…
…0100100110100000
312021100201102220221
41321300110212200
513140413213212
6534410212424
7101422516000
oct17160244640
95240642827
102042710432
11959069644
12490124114
1326727c7c9
14155416000
15be4ec807
hex79c149a0

2042710432 has 48 divisors (see below), whose sum is σ = 4689921600. Its totient is φ = 875442624.

The previous prime is 2042710391. The next prime is 2042710451. The reversal of 2042710432 is 2340172402.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2042710397 and 2042710406.

It is an unprimeable number.

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, 82078 + ... + 104029.

It is an arithmetic number, because the mean of its divisors is an integer number (97706700).

Almost surely, 22042710432 is an apocalyptic number.

It is an amenable number.

2042710432 is an abundant number, since it is smaller than the sum of its proper divisors (2647211168).

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

2042710432 is an equidigital number, since it uses as much as digits as its factorization.

2042710432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186138 (or 186116 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 2042710432 is about 45196.3541892485. The cubic root of 2042710432 is about 1268.8265830903.

Adding to 2042710432 its reverse (2340172402), we get a palindrome (4382882834).

The spelling of 2042710432 in words is "two billion, forty-two million, seven hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 343 392 686 784 1372 1568 2744 5488 10976 186107 372214 744428 1302749 1488856 2605498 2977712 5210996 5955424 9119243 10421992 18238486 20843984 36476972 41687968 63834701 72953944 127669402 145907888 255338804 291815776 510677608 1021355216 2042710432