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442551420 = 2232519129401
BaseRepresentation
bin11010011000001…
…100110001111100
31010211201221102100
4122120030301330
51401243121140
6111525225100
713652424243
oct3230146174
91124657370
10442551420
11207899483
12104262190
13708bc55c
1442abd95a
1528cbb530
hex1a60cc7c

442551420 has 72 divisors (see below), whose sum is σ = 1413069840. Its totient is φ = 111801600.

The previous prime is 442551409. The next prime is 442551427. The reversal of 442551420 is 24155244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442551427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61281 + ... + 68120.

It is an arithmetic number, because the mean of its divisors is an integer number (19625970).

Almost surely, 2442551420 is an apocalyptic number.

It is an amenable number.

442551420 is an abundant number, since it is smaller than the sum of its proper divisors (970518420).

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

442551420 is a wasteful number, since it uses less digits than its factorization.

442551420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129435 (or 129430 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 442551420 is about 21036.9061413507. The cubic root of 442551420 is about 762.0578003978.

The spelling of 442551420 in words is "four hundred forty-two million, five hundred fifty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 129401 258802 388203 517604 647005 776406 1164609 1294010 1552812 1941015 2329218 2458619 2588020 3882030 4658436 4917238 5823045 7375857 7764060 9834476 11646090 12293095 14751714 22127571 23292180 24586190 29503428 36879285 44255142 49172380 73758570 88510284 110637855 147517140 221275710 442551420