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2826252420 = 2235232970621
BaseRepresentation
bin1010100001110101…
…0011000010000100
321021222002111110120
42220131103002010
521242010034140
61144240221540
7130015514655
oct25035230204
97258074416
102826252420
111220389302
1266a60a8b0
133606bc514
141cb4d952c
151181c31d0
hexa8753084

2826252420 has 96 divisors (see below), whose sum is σ = 8542437120. Its totient is φ = 696030720.

The previous prime is 2826252419. The next prime is 2826252421. The reversal of 2826252420 is 242526282.

It is an interprime number because it is at equal distance from previous prime (2826252419) and next prime (2826252421).

It is not an unprimeable number, because it can be changed into a prime (2826252421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4710 + ... + 75330.

It is an arithmetic number, because the mean of its divisors is an integer number (88983720).

Almost surely, 22826252420 is an apocalyptic number.

2826252420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2826252420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4271218560).

2826252420 is an abundant number, since it is smaller than the sum of its proper divisors (5716184700).

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

2826252420 is a wasteful number, since it uses less digits than its factorization.

2826252420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70685 (or 70683 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 2826252420 is about 53162.5095344454. The cubic root of 2826252420 is about 1413.8510186493.

The spelling of 2826252420 in words is "two billion, eight hundred twenty-six million, two hundred fifty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 29 30 46 58 60 69 87 92 115 116 138 145 174 230 276 290 345 348 435 460 580 667 690 870 1334 1380 1740 2001 2668 3335 4002 6670 8004 10005 13340 20010 40020 70621 141242 211863 282484 353105 423726 706210 847452 1059315 1412420 1624283 2048009 2118630 3248566 4096018 4237260 4872849 6144027 6497132 8121415 8192036 9745698 10240045 12288054 16242830 19491396 20480090 24364245 24576108 30720135 32485660 40960180 47104207 48728490 61440270 94208414 97456980 122880540 141312621 188416828 235521035 282625242 471042070 565250484 706563105 942084140 1413126210 2826252420