Search a number
-
+
4646056040 = 235416742283
BaseRepresentation
bin1000101001110110…
…10011000001101000
3102222210101002201122
410110323103001220
534003342243130
62045005034412
7223063552613
oct42473230150
912883332648
104646056040
111a7463973a
12a97b55a08
135907244b2
1432108917a
151c2d3e2e5
hex114ed3068

4646056040 has 64 divisors (see below), whose sum is σ = 10868679360. Its totient is φ = 1785991680.

The previous prime is 4646056007. The next prime is 4646056109. The reversal of 4646056040 is 406506464.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88739 + ... + 131021.

It is an arithmetic number, because the mean of its divisors is an integer number (169823115).

Almost surely, 24646056040 is an apocalyptic number.

4646056040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4646056040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5434339680).

4646056040 is an abundant number, since it is smaller than the sum of its proper divisors (6222623320).

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

4646056040 is a wasteful number, since it uses less digits than its factorization.

4646056040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42402 (or 42398 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The square root of 4646056040 is about 68161.9838326321. The cubic root of 4646056040 is about 1668.6355091908.

The spelling of 4646056040 in words is "four billion, six hundred forty-six million, fifty-six thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 67 82 134 164 205 268 328 335 410 536 670 820 1340 1640 2680 2747 5494 10988 13735 21976 27470 42283 54940 84566 109880 169132 211415 338264 422830 845660 1691320 1733603 2832961 3467206 5665922 6934412 8668015 11331844 13868824 14164805 17336030 22663688 28329610 34672060 56659220 69344120 113318440 116151401 232302802 464605604 580757005 929211208 1161514010 2323028020 4646056040