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442100424 = 23331472269
BaseRepresentation
bin11010010110011…
…110101011001000
31010210220000202210
4122112132223020
51401134203144
6111511425120
713645535343
oct3226365310
91123800683
10442100424
11207610657
121040851a0
13707921ac
1442a0345a
1528c2cab9
hex1a59eac8

442100424 has 96 divisors (see below), whose sum is σ = 1170028800. Its totient is φ = 139059840.

The previous prime is 442100381. The next prime is 442100441. The reversal of 442100424 is 424001244.

It is a self number, because there is not a number n which added to its sum of digits gives 442100424.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1643362 + ... + 1643630.

It is an arithmetic number, because the mean of its divisors is an integer number (12187800).

Almost surely, 2442100424 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 442100424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585014400).

442100424 is an abundant number, since it is smaller than the sum of its proper divisors (727928376).

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

442100424 is a wasteful number, since it uses less digits than its factorization.

442100424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 442100424 is about 21026.1842472665. The cubic root of 442100424 is about 761.7988460571.

Adding to 442100424 its reverse (424001244), we get a palindrome (866101668).

The spelling of 442100424 in words is "four hundred forty-two million, one hundred thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 31 47 62 93 94 124 141 186 188 248 269 282 372 376 538 564 744 807 1076 1128 1457 1614 2152 2209 2914 3228 4371 4418 5828 6456 6627 8339 8742 8836 11656 12643 13254 16678 17484 17672 25017 25286 26508 33356 34968 37929 50034 50572 53016 66712 68479 75858 100068 101144 136958 151716 200136 205437 273916 303432 391933 410874 547832 594221 783866 821748 1175799 1188442 1567732 1643496 1782663 2351598 2376884 3135464 3565326 4703196 4753768 7130652 9406392 14261304 18420851 36841702 55262553 73683404 110525106 147366808 221050212 442100424