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420158544 = 243131494519
BaseRepresentation
bin11001000010110…
…001110001010000
31002021121021011120
4121002301301100
51330030033134
6105405242240
713261201011
oct3102616120
91067537146
10420158544
111a6194373
12b8863380
136907bc30
143db31008
1526d46649
hex190b1c50

420158544 has 80 divisors (see below), whose sum is σ = 1177008000. Its totient is φ = 128383488.

The previous prime is 420158539. The next prime is 420158561. The reversal of 420158544 is 445851024.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90717 + ... + 95235.

It is an arithmetic number, because the mean of its divisors is an integer number (14712600).

Almost surely, 2420158544 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 420158544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588504000).

420158544 is an abundant number, since it is smaller than the sum of its proper divisors (756849456).

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

420158544 is a wasteful number, since it uses less digits than its factorization.

420158544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4692 (or 4686 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 33.

The square root of 420158544 is about 20497.7692444812. The cubic root of 420158544 is about 748.9814582787.

The spelling of 420158544 in words is "four hundred twenty million, one hundred fifty-eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 149 156 208 298 312 447 596 624 894 1192 1788 1937 2384 3576 3874 4519 5811 7152 7748 9038 11622 13557 15496 18076 23244 27114 30992 36152 46488 54228 58747 72304 92976 108456 117494 176241 216912 234988 352482 469976 673331 704964 939952 1346662 1409928 2019993 2693324 2819856 4039986 5386648 8079972 8753303 10773296 16159944 17506606 26259909 32319888 35013212 52519818 70026424 105039636 140052848 210079272 420158544