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2402001261 = 3211193734513
BaseRepresentation
bin1000111100101011…
…1010000101101101
320012101210022021200
42033022322011231
514404403020021
61034203120113
7113344450062
oct21712720555
96171708250
102402001261
11102295a110
12570513039
132c383982a
1418b020c69
15e0d1e126
hex8f2ba16d

2402001261 has 48 divisors (see below), whose sum is σ = 4091979840. Its totient is φ = 1341826560.

The previous prime is 2402001193. The next prime is 2402001269. The reversal of 2402001261 is 1621002042.

2402001261 is a `hidden beast` number, since 2 + 402 + 0 + 0 + 1 + 261 = 666.

It is not a de Polignac number, because 2402001261 - 29 = 2402000749 is a prime.

It is a super-2 number, since 2×24020012612 = 11539220115691180242, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2402001269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52341 + ... + 86853.

It is an arithmetic number, because the mean of its divisors is an integer number (85249580).

Almost surely, 22402001261 is an apocalyptic number.

It is an amenable number.

2402001261 is a deficient number, since it is larger than the sum of its proper divisors (1689978579).

2402001261 is a wasteful number, since it uses less digits than its factorization.

2402001261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34586 (or 34583 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2402001261 is about 49010.2158840379. The cubic root of 2402001261 is about 1339.2379384563.

The spelling of 2402001261 in words is "two billion, four hundred two million, one thousand, two hundred sixty-one".

Divisors: 1 3 9 11 19 33 37 57 99 111 171 209 333 407 627 703 1221 1881 2109 3663 6327 7733 23199 34513 69597 103539 310617 379643 655747 1138929 1276981 1967241 3416787 3830943 5901723 7213217 11492829 14046791 21639651 24262639 42140373 64918953 72787917 126421119 218363751 266889029 800667087 2402001261