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2822026272 = 253134015639
BaseRepresentation
bin1010100000110100…
…1011010000100000
321021200010210021120
42220031023100200
521234414320042
61144005452240
7126634553562
oct25015132040
97250123246
102822026272
111218a6211a
12669111080
1335c86ca40
141cab19332
15117b3adec
hexa834b420

2822026272 has 96 divisors (see below), whose sum is σ = 7998963840. Its totient is φ = 865996800.

The previous prime is 2822026271. The next prime is 2822026283. The reversal of 2822026272 is 2726202282.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2822026271) by changing a digit.

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, 497629 + ... + 503267.

It is an arithmetic number, because the mean of its divisors is an integer number (83322540).

Almost surely, 22822026272 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 2822026272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3999481920).

2822026272 is an abundant number, since it is smaller than the sum of its proper divisors (5176937568).

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

2822026272 is a wasteful number, since it uses less digits than its factorization.

2822026272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6066 (or 6058 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 2822026272 is about 53122.7472181174. The cubic root of 2822026272 is about 1413.1459478240.

The spelling of 2822026272 in words is "two billion, eight hundred twenty-two million, twenty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 401 416 624 802 1203 1248 1604 2406 3208 4812 5213 5639 6416 9624 10426 11278 12832 15639 16917 19248 20852 22556 31278 33834 38496 41704 45112 62556 67668 73307 83408 90224 125112 135336 146614 166816 180448 219921 250224 270672 293228 439842 500448 541344 586456 879684 1172912 1759368 2261239 2345824 3518736 4522478 6783717 7037472 9044956 13567434 18089912 27134868 29396107 36179824 54269736 58792214 72359648 88188321 108539472 117584428 176376642 217078944 235168856 352753284 470337712 705506568 940675424 1411013136 2822026272