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4040432540 = 22523291392179
BaseRepresentation
bin1111000011010100…
…0001101110011100
3101102120210020110122
43300311001232130
531233322320130
61504532254112
7202061052464
oct36065015634
911376706418
104040432540
11179379a851
12949171338
134c510a0b1
142a487aba4
15189ab02e5
hexf0d41b9c

4040432540 has 96 divisors (see below), whose sum is σ = 9229248000. Its totient is φ = 1481179392.

The previous prime is 4040432497. The next prime is 4040432579. The reversal of 4040432540 is 452340404.

4040432540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40404325402 = 32650190220581703200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1853171 + ... + 1855349.

It is an arithmetic number, because the mean of its divisors is an integer number (96138000).

Almost surely, 24040432540 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 4040432540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4614624000).

4040432540 is an abundant number, since it is smaller than the sum of its proper divisors (5188815460).

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

4040432540 is a wasteful number, since it uses less digits than its factorization.

4040432540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2379 (or 2377 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

The square root of 4040432540 is about 63564.3967956906. The cubic root of 4040432540 is about 1592.7316858987.

Adding to 4040432540 its reverse (452340404), we get a palindrome (4492772944).

The spelling of 4040432540 in words is "four billion, forty million, four hundred thirty-two thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 23 29 46 58 92 115 116 139 145 230 278 290 460 556 580 667 695 1334 1390 2179 2668 2780 3197 3335 4031 4358 6394 6670 8062 8716 10895 12788 13340 15985 16124 20155 21790 31970 40310 43580 50117 63191 63940 80620 92713 100234 126382 185426 200468 250585 252764 302881 315955 370852 463565 501170 605762 631910 927130 1002340 1211524 1263820 1453393 1514405 1854260 2906786 3028810 5813572 6057620 6966263 7266965 8783549 13932526 14533930 17567098 27865052 29067860 34831315 35134196 43917745 69662630 87835490 139325260 175670980 202021627 404043254 808086508 1010108135 2020216270 4040432540