Search a number
-
+
2540764836 = 22323122712
BaseRepresentation
bin1001011101110000…
…1111111010100100
320120001220020010100
42113130033322210
520200413433321
61100041224100
7116651100441
oct22734177244
96501806110
102540764836
111094217255
125aaa92030
1331650315c
141a16229c8
15ed0ce326
hex9770fea4

2540764836 has 81 divisors (see below), whose sum is σ = 6660927819. Its totient is φ = 816577200.

The previous prime is 2540764817. The next prime is 2540764841. The reversal of 2540764836 is 6384670452.

The square root of 2540764836 is 50406.

It is a perfect power (a square), and thus also a powerful number.

2540764836 is a `hidden beast` number, since 2 + 540 + 76 + 4 + 8 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2540764791 and 2540764800.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9375381 + ... + 9375651.

Almost surely, 22540764836 is an apocalyptic number.

2540764836 is the 50406-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2540764836

2540764836 is an abundant number, since it is smaller than the sum of its proper divisors (4120162983).

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

2540764836 is a wasteful number, since it uses less digits than its factorization.

2540764836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The cubic root of 2540764836 is about 1364.5459247217.

It can be divided in two parts, 2540 and 764836, that added together give a square (767376 = 8762).

The spelling of 2540764836 in words is "two billion, five hundred forty million, seven hundred sixty-four thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 271 279 372 542 558 813 961 1084 1116 1626 1922 2439 2883 3252 3844 4878 5766 8401 8649 9756 11532 16802 17298 25203 33604 34596 50406 73441 75609 100812 146882 151218 220323 260431 293764 302436 440646 520862 660969 781293 881292 1041724 1321938 1562586 2276671 2343879 2643876 3125172 4553342 4687758 6830013 9106684 9375516 13660026 20490039 27320052 40980078 70576801 81960156 141153602 211730403 282307204 423460806 635191209 846921612 1270382418 2540764836