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4040264268 = 2232176601739
BaseRepresentation
bin1111000011010001…
…1000101001001100
3101102120110200122100
43300310120221030
531233301424033
61504524515100
7202056452055
oct36064305114
911376420570
104040264268
111793695387
129490aba90
134c507b621
142a483572c
15189a7a513
hexf0d18a4c

4040264268 has 36 divisors (see below), whose sum is σ = 10813650120. Its totient is φ = 1267533696.

The previous prime is 4040264257. The next prime is 4040264269. The reversal of 4040264268 is 8624620404.

It is a happy number.

4040264268 is a `hidden beast` number, since 4 + 0 + 4 + 0 + 2 + 642 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4040264269) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3300258 + ... + 3301481.

It is an arithmetic number, because the mean of its divisors is an integer number (300379170).

Almost surely, 24040264268 is an apocalyptic number.

It is an amenable number.

4040264268 is an abundant number, since it is smaller than the sum of its proper divisors (6773385852).

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

4040264268 is a wasteful number, since it uses less digits than its factorization.

4040264268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6601766 (or 6601761 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 4040264268 is about 63563.0731478584. The cubic root of 4040264268 is about 1592.7095747456.

The spelling of 4040264268 in words is "four billion, forty million, two hundred sixty-four thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 6601739 13203478 19805217 26406956 39610434 59415651 79220868 112229563 118831302 224459126 237662604 336688689 448918252 673377378 1010066067 1346754756 2020132134 4040264268