Search a number
-
+
4065400464 = 243421120113
BaseRepresentation
bin1111001001010001…
…0001011010010000
3101111022202202000120
43302110101122100
531311220303324
61511223350240
7202513222326
oct36224213220
911438682016
104065400464
1117a68a35a4
129555b2380
134ca33c808
142a7cd9d16
1518bd93179
hexf2511690

4065400464 has 40 divisors (see below), whose sum is σ = 10505300832. Its totient is φ = 1354744320.

The previous prime is 4065400459. The next prime is 4065400477. The reversal of 4065400464 is 4640045604.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 192072 + ... + 212184.

Almost surely, 24065400464 is an apocalyptic number.

It is an amenable number.

4065400464 is an abundant number, since it is smaller than the sum of its proper divisors (6439900368).

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

4065400464 is a wasteful number, since it uses less digits than its factorization.

4065400464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24335 (or 24329 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The square root of 4065400464 is about 63760.4929717454. The cubic root of 4065400464 is about 1596.0057223053.

The spelling of 4065400464 in words is "four billion, sixty-five million, four hundred thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 4211 8422 12633 16844 20113 25266 33688 40226 50532 60339 67376 80452 101064 120678 160904 202128 241356 321808 482712 965424 84695843 169391686 254087529 338783372 508175058 677566744 1016350116 1355133488 2032700232 4065400464