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4042452440 = 23513174311061
BaseRepresentation
bin1111000011110010…
…1110110111011000
3101102201120212020202
43300330232313120
531234331434230
61505043441332
7202114164425
oct36074566730
911381525222
104042452440
11179494a394
12949986248
134c56665c0
142a4c44d4c
15189d5da45
hexf0f2edd8

4042452440 has 128 divisors (see below), whose sum is σ = 10405221120. Its totient is φ = 1400217600.

The previous prime is 4042452413. The next prime is 4042452443. The reversal of 4042452440 is 442542404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042452443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3809510 + ... + 3810570.

It is an arithmetic number, because the mean of its divisors is an integer number (81290790).

Almost surely, 24042452440 is an apocalyptic number.

4042452440 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 4042452440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5202610560).

4042452440 is an abundant number, since it is smaller than the sum of its proper divisors (6362768680).

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

4042452440 is a wasteful number, since it uses less digits than its factorization.

4042452440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 29.

The square root of 4042452440 is about 63580.2834218282. The cubic root of 4042452440 is about 1592.9970554056.

Adding to 4042452440 its reverse (442542404), we get a palindrome (4484994844).

The spelling of 4042452440 in words is "four billion, forty-two million, four hundred fifty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 260 340 431 442 520 680 862 884 1061 1105 1724 1768 2122 2155 2210 3448 4244 4310 4420 5305 5603 7327 8488 8620 8840 10610 11206 13793 14654 17240 18037 21220 22412 27586 28015 29308 36074 36635 42440 44824 55172 56030 58616 68965 72148 73270 90185 95251 110344 112060 137930 144296 146540 180370 190502 224120 234481 275860 293080 360740 381004 457291 468962 476255 551720 721480 762008 914582 937924 952510 1172405 1829164 1875848 1905020 2286455 2344810 3658328 3810040 4572910 4689620 5944783 7773947 9145820 9379240 11889566 15547894 18291640 23779132 29723915 31095788 38869735 47558264 59447830 62191576 77739470 101061311 118895660 155478940 202122622 237791320 310957880 404245244 505306555 808490488 1010613110 2021226220 4042452440