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2602052000 = 25532113083
BaseRepresentation
bin1001101100011000…
…0010100110100000
320201100012221022022
42123012002212200
520312111131000
61110111001012
7121324035302
oct23306024640
96640187268
102602052000
1111158771a9
12607509168
13326110c52
141a9817972
15103688585
hex9b1829a0

2602052000 has 96 divisors (see below), whose sum is σ = 6425625024. Its totient is φ = 1035552000.

The previous prime is 2602051987. The next prime is 2602052021. The reversal of 2602052000 is 2502062.

It is a super-2 number, since 2×26020520002 = 13541349221408000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2602052000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 842459 + ... + 845541.

It is an arithmetic number, because the mean of its divisors is an integer number (66933594).

Almost surely, 22602052000 is an apocalyptic number.

2602052000 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 2602052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3212812512).

2602052000 is an abundant number, since it is smaller than the sum of its proper divisors (3823573024).

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

2602052000 is a wasteful number, since it uses less digits than its factorization.

2602052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3319 (or 3301 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 2602052000 is about 51010.3126828291. The cubic root of 2602052000 is about 1375.4305208346.

Adding to 2602052000 its reverse (2502062), we get a palindrome (2604554062).

The spelling of 2602052000 in words is "two billion, six hundred two million, fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 211 250 400 422 500 800 844 1000 1055 1688 2000 2110 3083 3376 4000 4220 5275 6166 6752 8440 10550 12332 15415 16880 21100 24664 26375 30830 33760 42200 49328 52750 61660 77075 84400 98656 105500 123320 154150 168800 211000 246640 308300 385375 422000 493280 616600 650513 770750 844000 1233200 1301026 1541500 2466400 2602052 3083000 3252565 5204104 6166000 6505130 10408208 12332000 13010260 16262825 20816416 26020520 32525650 52041040 65051300 81314125 104082080 130102600 162628250 260205200 325256500 520410400 650513000 1301026000 2602052000