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2429402560 = 26513583991
BaseRepresentation
bin1001000011001101…
…1011110111000000
320021022100102210121
42100303123313000
514433411340220
61041022310024
7114126403204
oct22063336700
96238312717
102429402560
111037375112
12579728314
132c9411a10
14190914b04
15e3432eaa
hex90cdbdc0

2429402560 has 56 divisors (see below), whose sum is σ = 6230026656. Its totient is φ = 897008640.

The previous prime is 2429402557. The next prime is 2429402603. The reversal of 2429402560 is 652049242.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 287836 + ... + 296155.

It is an arithmetic number, because the mean of its divisors is an integer number (111250476).

Almost surely, 22429402560 is an apocalyptic number.

2429402560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2429402560 is an abundant number, since it is smaller than the sum of its proper divisors (3800624096).

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

2429402560 is a wasteful number, since it uses less digits than its factorization.

2429402560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584021 (or 584011 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 2429402560 is about 49288.9699628629. The cubic root of 2429402560 is about 1344.3112350823.

The spelling of 2429402560 in words is "two billion, four hundred twenty-nine million, four hundred two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 583991 1167982 2335964 2919955 4671928 5839910 7591883 9343856 11679820 15183766 18687712 23359640 30367532 37375424 37959415 46719280 60735064 75918830 93438560 121470128 151837660 186877120 242940256 303675320 485880512 607350640 1214701280 2429402560