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2042456540 = 225271376837
BaseRepresentation
bin111100110111101…
…0110100111011100
312021100020112122112
41321233112213130
513140332102130
6534400533152
7101420410535
oct17157264734
95240215575
102042456540
11958a05913
124900211b8
132671c1087
1415538b68c
15be49c495
hex79bd69dc

2042456540 has 24 divisors (see below), whose sum is σ = 4304997312. Its totient is φ = 813965760.

The previous prime is 2042456531. The next prime is 2042456543. The reversal of 2042456540 is 456542402.

It is a junction number, because it is equal to n+sod(n) for n = 2042456497 and 2042456506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042456543) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 182999 + ... + 193838.

It is an arithmetic number, because the mean of its divisors is an integer number (179374888).

Almost surely, 22042456540 is an apocalyptic number.

2042456540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042456540 is an abundant number, since it is smaller than the sum of its proper divisors (2262540772).

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

2042456540 is a wasteful number, since it uses less digits than its factorization.

2042456540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377117 (or 377115 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

The square root of 2042456540 is about 45193.5453355897. The cubic root of 2042456540 is about 1268.7740126980.

Adding to 2042456540 its reverse (456542402), we get a palindrome (2498998942).

The spelling of 2042456540 in words is "two billion, forty-two million, four hundred fifty-six thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 271 542 1084 1355 2710 5420 376837 753674 1507348 1884185 3768370 7536740 102122827 204245654 408491308 510614135 1021228270 2042456540