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4041402992 = 2411197229509
BaseRepresentation
bin1111000011100010…
…1110101001110000
3101102122121112200022
43300320232221300
531234044343432
61505005143012
7202102234004
oct36070565160
911378545608
104041402992
1117942a2980
1294955aa68
134c5389a23
142a4a50704
15189c02b12
hexf0e2ea70

4041402992 has 80 divisors (see below), whose sum is σ = 8639848800. Its totient is φ = 1816120320.

The previous prime is 4041402983. The next prime is 4041402997. The reversal of 4041402992 is 2992041404.

It is a happy number.

4041402992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4041402997) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7939634 + ... + 7940142.

It is an arithmetic number, because the mean of its divisors is an integer number (107998110).

Almost surely, 24041402992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4041402992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4319924400).

4041402992 is an abundant number, since it is smaller than the sum of its proper divisors (4598445808).

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

4041402992 is a wasteful number, since it uses less digits than its factorization.

4041402992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 4041402992 is about 63572.0299502855. The cubic root of 4041402992 is about 1592.8591925375.

The spelling of 4041402992 in words is "four billion, forty-one million, four hundred two thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 197 229 394 458 509 788 916 1018 1576 1832 2036 2167 2519 3152 3664 4072 4334 5038 5599 8144 8668 10076 11198 17336 20152 22396 34672 40304 44792 45113 89584 90226 100273 116561 180452 200546 233122 360904 401092 466244 496243 721808 802184 932488 992486 1103003 1282171 1604368 1864976 1984972 2206006 2564342 3969944 4412012 5128684 7939888 8824024 10257368 17648048 20514736 22962517 45925034 91850068 183700136 252587687 367400272 505175374 1010350748 2020701496 4041402992