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4282842880 = 28523145477
BaseRepresentation
bin1111111101000110…
…1111111100000000
3102001110220221221101
43333101233330000
532232401433010
61544552104144
7211063364251
oct37721577400
912043827841
104282842880
1118a860a278
129b6395054
135333c3074
142c8b3cb28
151a0ee573a
hexff46ff00

4282842880 has 72 divisors (see below), whose sum is σ = 10704853152. Its totient is φ = 1638641664.

The previous prime is 4282842859. The next prime is 4282842887. The reversal of 4282842880 is 882482824.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 4282842880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4282842887) 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 7 ways as a sum of consecutive naturals, for example, 43299 + ... + 102178.

It is an arithmetic number, because the mean of its divisors is an integer number (148678516).

Almost surely, 24282842880 is an apocalyptic number.

4282842880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4282842880 is an abundant number, since it is smaller than the sum of its proper divisors (6422010272).

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

4282842880 is a wasteful number, since it uses less digits than its factorization.

4282842880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145521 (or 145507 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 46.

The square root of 4282842880 is about 65443.4326728053. The cubic root of 4282842880 is about 1623.9676763204.

The spelling of 4282842880 in words is "four billion, two hundred eighty-two million, eight hundred forty-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 256 320 368 460 640 736 920 1280 1472 1840 2944 3680 5888 7360 14720 29440 145477 290954 581908 727385 1163816 1454770 2327632 2909540 3345971 4655264 5819080 6691942 9310528 11638160 13383884 16729855 18621056 23276320 26767768 33459710 37242112 46552640 53535536 66919420 93105280 107071072 133838840 186210560 214142144 267677680 428284288 535355360 856568576 1070710720 2141421440 4282842880