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2425726460 = 2252941831229
BaseRepresentation
bin1001000010010101…
…1010010111111100
320021001102200010202
42100211122113330
514431441221320
61040411423032
7114053222543
oct22045322774
96231380122
102425726460
111035294213
12578454a78
132c8725701
1419023915a
15e2e58b75
hex9095a5fc

2425726460 has 96 divisors (see below), whose sum is σ = 5467694400. Its totient is φ = 902236160.

The previous prime is 2425726453. The next prime is 2425726477. The reversal of 2425726460 is 646275242.

It is a happy number.

2425726460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1973126 + ... + 1974354.

It is an arithmetic number, because the mean of its divisors is an integer number (56955150).

Almost surely, 22425726460 is an apocalyptic number.

2425726460 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 2425726460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2733847200).

2425726460 is an abundant number, since it is smaller than the sum of its proper divisors (3041967940).

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

2425726460 is a wasteful number, since it uses less digits than its factorization.

2425726460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1391 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 38.

The square root of 2425726460 is about 49251.6645403990. The cubic root of 2425726460 is about 1343.6328354740.

The spelling of 2425726460 in words is "two billion, four hundred twenty-five million, seven hundred twenty-six thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 29 41 58 82 83 116 145 164 166 205 290 332 410 415 580 820 830 1189 1229 1660 2378 2407 2458 3403 4756 4814 4916 5945 6145 6806 9628 11890 12035 12290 13612 17015 23780 24070 24580 34030 35641 48140 50389 68060 71282 98687 100778 102007 142564 178205 197374 201556 204014 251945 356410 394748 408028 493435 503890 510035 712820 986870 1007780 1020070 1461281 1973740 2040140 2922562 2958203 4182287 5845124 5916406 7306405 8364574 11832812 14612810 14791015 16729148 20911435 29225620 29582030 41822870 59164060 83645740 121286323 242572646 485145292 606431615 1212863230 2425726460