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401199561 = 3571631447
BaseRepresentation
bin10111111010011…
…101000111001001
31000221221001100000
4113322131013021
51310201341221
6103451033213
712641066010
oct2772350711
91027831300
10401199561
11196515194
12b243b809
13651715b9
143b3d7a77
152534de26
hex17e9d1c9

401199561 has 48 divisors (see below), whose sum is σ = 691518464. Its totient is φ = 227692944.

The previous prime is 401199553. The next prime is 401199563. The reversal of 401199561 is 165991104.

401199561 is a `hidden beast` number, since 4 + 0 + 1 + 1 + 99 + 561 = 666.

It is not a de Polignac number, because 401199561 - 23 = 401199553 is a prime.

It is a super-2 number, since 2×4011995612 = 321922175493185442, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (401199563) 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, 276540 + ... + 277986.

Almost surely, 2401199561 is an apocalyptic number.

It is an amenable number.

401199561 is a deficient number, since it is larger than the sum of its proper divisors (290318903).

401199561 is a wasteful number, since it uses less digits than its factorization.

401199561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 401199561 is about 20029.9665751094. The cubic root of 401199561 is about 737.5421014364.

The spelling of 401199561 in words is "four hundred one million, one hundred ninety-nine thousand, five hundred sixty-one".

Divisors: 1 3 7 9 21 27 63 81 163 189 243 489 567 1141 1447 1467 1701 3423 4341 4401 10129 10269 13023 13203 30387 30807 39069 39609 91161 92421 117207 235861 273483 277263 351621 707583 820449 1651027 2122749 2461347 4953081 6368247 14859243 19104741 44577729 57314223 133733187 401199561