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2425261460 = 225197578431
BaseRepresentation
bin1001000010001110…
…1000110110010100
320021000120001021112
42100203220312110
514431331331320
61040353434152
7114046245056
oct22043506624
96230501245
102425261460
111034aa6916
1257826b958
132c85c1b6b
141901578d6
15e2db5ec5
hex908e8d94

2425261460 has 48 divisors (see below), whose sum is σ = 5368823040. Its totient is φ = 917723520.

The previous prime is 2425261457. The next prime is 2425261507. The reversal of 2425261460 is 641625242.

It is a super-2 number, since 2×24252614602 = 11763786298722663200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283445 + ... + 291875.

It is an arithmetic number, because the mean of its divisors is an integer number (111850480).

Almost surely, 22425261460 is an apocalyptic number.

2425261460 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 2425261460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2684411520).

2425261460 is an abundant number, since it is smaller than the sum of its proper divisors (2943561580).

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

2425261460 is a wasteful number, since it uses less digits than its factorization.

2425261460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9216 (or 9214 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 2425261460 is about 49246.9436615106. The cubic root of 2425261460 is about 1343.5469740210.

The spelling of 2425261460 in words is "two billion, four hundred twenty-five million, two hundred sixty-one thousand, four hundred sixty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 757 1514 3028 3785 7570 8431 14383 15140 16862 28766 33724 42155 57532 71915 84310 143830 160189 168620 287660 320378 640756 800945 1601890 3203780 6382267 12764534 25529068 31911335 63822670 121263073 127645340 242526146 485052292 606315365 1212630730 2425261460