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2425517240 = 235374094007
BaseRepresentation
bin1001000010010010…
…0111010010111000
320021001001001010212
42100210213102320
514431413022430
61040403130252
7114051361556
oct22044472270
96231031125
102425517240
111035161003
12578373988
132c8681403
141901c2bd6
15e2e16b95
hex909274b8

2425517240 has 64 divisors (see below), whose sum is σ = 5620017600. Its totient is φ = 941442048.

The previous prime is 2425517239. The next prime is 2425517243. The reversal of 2425517240 is 427155242.

It is a junction number, because it is equal to n+sod(n) for n = 2425517197 and 2425517206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2425517243) by changing a digit.

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, 603317 + ... + 607323.

It is an arithmetic number, because the mean of its divisors is an integer number (87812775).

Almost surely, 22425517240 is an apocalyptic number.

2425517240 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 2425517240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2810008800).

2425517240 is an abundant number, since it is smaller than the sum of its proper divisors (3194500360).

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

2425517240 is a wasteful number, since it uses less digits than its factorization.

2425517240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4464 (or 4460 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 32.

The square root of 2425517240 is about 49249.5405054707. The cubic root of 2425517240 is about 1343.5942047176.

The spelling of 2425517240 in words is "two billion, four hundred twenty-five million, five hundred seventeen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 409 740 818 1480 1636 2045 3272 4007 4090 8014 8180 15133 16028 16360 20035 30266 32056 40070 60532 75665 80140 121064 148259 151330 160280 296518 302660 593036 605320 741295 1186072 1482590 1638863 2965180 3277726 5930360 6555452 8194315 13110904 16388630 32777260 60637931 65554520 121275862 242551724 303189655 485103448 606379310 1212758620 2425517240