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2425112460 = 223453740459
BaseRepresentation
bin1001000010001100…
…0100011110001100
320021000021110220000
42100203010132030
514431312044320
61040350324300
7114045054501
oct22043043614
96230243800
102425112460
111034a04981
125781b9690
132c856c0b4
141901194a8
15e2d86c90
hex908c478c

2425112460 has 120 divisors (see below), whose sum is σ = 7813473360. Its totient is φ = 629202816.

The previous prime is 2425112447. The next prime is 2425112461. The reversal of 2425112460 is 642115242.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2425112461) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 39711 + ... + 80169.

It is an arithmetic number, because the mean of its divisors is an integer number (65112278).

Almost surely, 22425112460 is an apocalyptic number.

2425112460 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 2425112460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3906736680).

2425112460 is an abundant number, since it is smaller than the sum of its proper divisors (5388360900).

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

2425112460 is a wasteful number, since it uses less digits than its factorization.

2425112460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40517 (or 40506 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2425112460 is about 49245.4308540396. The cubic root of 2425112460 is about 1343.5194591046.

The spelling of 2425112460 in words is "two billion, four hundred twenty-five million, one hundred twelve thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 37 45 54 60 74 81 90 108 111 135 148 162 180 185 222 270 324 333 370 405 444 540 555 666 740 810 999 1110 1332 1620 1665 1998 2220 2997 3330 3996 4995 5994 6660 9990 11988 14985 19980 29970 40459 59940 80918 121377 161836 202295 242754 364131 404590 485508 606885 728262 809180 1092393 1213770 1456524 1496983 1820655 2184786 2427540 2993966 3277179 3641310 4369572 4490949 5461965 5987932 6554358 7282620 7484915 8981898 10923930 13108716 13472847 14969830 16385895 17963796 21847860 22454745 26945694 29939660 32771790 40418541 44909490 53891388 65543580 67364235 80837082 89818980 121255623 134728470 161674164 202092705 242511246 269456940 404185410 485022492 606278115 808370820 1212556230 2425112460