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442116261 = 3249124029
BaseRepresentation
bin11010010110100…
…010100010100101
31010210220211111100
4122112202202211
51401140210021
6111512030313
713645632456
oct3226424245
91123824440
10442116261
11207621544
12104092399
1370799472
1442a0912d
1528c32626
hex1a5a28a5

442116261 has 6 divisors (see below), whose sum is σ = 638612390. Its totient is φ = 294744168.

The previous prime is 442116247. The next prime is 442116277. The reversal of 442116261 is 162611244.

442116261 is a `hidden beast` number, since 442 + 1 + 162 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 429732900 + 12383361 = 20730^2 + 3519^2 .

It is not a de Polignac number, because 442116261 - 226 = 375007397 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442116221) 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 5 ways as a sum of consecutive naturals, for example, 24562006 + ... + 24562023.

Almost surely, 2442116261 is an apocalyptic number.

It is an amenable number.

442116261 is a deficient number, since it is larger than the sum of its proper divisors (196496129).

442116261 is a wasteful number, since it uses less digits than its factorization.

442116261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49124035 (or 49124032 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 442116261 is about 21026.5608457494. The cubic root of 442116261 is about 761.8079423797.

The spelling of 442116261 in words is "four hundred forty-two million, one hundred sixteen thousand, two hundred sixty-one".

Divisors: 1 3 9 49124029 147372087 442116261