Search a number
-
+
4100002056 = 2333103918269
BaseRepresentation
bin1111010001100001…
…0001000100001000
3101120201212200111000
43310120101010020
531344100031211
61514501135000
7203413304523
oct36430210410
911521780430
104100002056
111814387257
129650ba460
13504566127
142ac745bba
1518ee2a656
hexf4611108

4100002056 has 64 divisors (see below), whose sum is σ = 11400480000. Its totient is φ = 1365277248.

The previous prime is 4100002051. The next prime is 4100002069. The reversal of 4100002056 is 6502000014.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4100002051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215290 + ... + 233558.

It is an arithmetic number, because the mean of its divisors is an integer number (178132500).

Almost surely, 24100002056 is an apocalyptic number.

It is an amenable number.

4100002056 is an abundant number, since it is smaller than the sum of its proper divisors (7300477944).

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

4100002056 is a wasteful number, since it uses less digits than its factorization.

4100002056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19323 (or 19313 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 4100002056 is about 64031.2584289892. The cubic root of 4100002056 is about 1600.5209314173.

The spelling of 4100002056 in words is "four billion, one hundred million, two thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 1039 2078 3117 4156 6234 8312 9351 12468 18269 18702 24936 28053 36538 37404 54807 56106 73076 74808 109614 112212 146152 164421 219228 224424 328842 438456 493263 657684 986526 1315368 1973052 3946104 18981491 37962982 56944473 75925964 113888946 151851928 170833419 227777892 341666838 455555784 512500257 683333676 1025000514 1366667352 2050001028 4100002056