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4040002032 = 2431113195801
BaseRepresentation
bin1111000011001101…
…1000100111110000
3101102112222100220220
43300303120213300
531233220031112
61504515133040
7202054310403
oct36063304760
911375870826
104040002032
111793526360
12948ba4180
134c4cb9161
142a47a7d3a
15189a2798c
hexf0cd89f0

4040002032 has 80 divisors (see below), whose sum is σ = 11396056320. Its totient is φ = 1223104000.

The previous prime is 4040002007. The next prime is 4040002037. The reversal of 4040002032 is 2302000404.

It is a happy number.

4040002032 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 (4040002037) 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, 693532 + ... + 699332.

It is an arithmetic number, because the mean of its divisors is an integer number (142450704).

Almost surely, 24040002032 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 4040002032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5698028160).

4040002032 is an abundant number, since it is smaller than the sum of its proper divisors (7356054288).

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

4040002032 is a wasteful number, since it uses less digits than its factorization.

4040002032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7142 (or 7136 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 4040002032 is about 63561.0103129269. The cubic root of 4040002032 is about 1592.6751153805.

Adding to 4040002032 its reverse (2302000404), we get a palindrome (6342002436).

The spelling of 4040002032 in words is "four billion, forty million, two thousand, thirty-two", and thus it is an eban number.

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 1319 2638 3957 5276 5801 7914 10552 11602 14509 15828 17403 21104 23204 29018 31656 34806 43527 46408 58036 63312 63811 69612 87054 92816 116072 127622 139224 174108 191433 232144 255244 278448 348216 382866 510488 696432 765732 1020976 1531464 3062928 7651519 15303038 22954557 30606076 45909114 61212152 84166709 91818228 122424304 168333418 183636456 252500127 336666836 367272912 505000254 673333672 1010000508 1346667344 2020001016 4040002032