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2425442000 = 24532352727
BaseRepresentation
bin1001000010010001…
…0100111011010000
320021000220012221012
42100210110323100
514431403121000
61040401350052
7114050626322
oct22044247320
96230805835
102425442000
11103510a523
12578338328
132c86560a7
141901a3612
15e2dee735
hex90914ed0

2425442000 has 80 divisors (see below), whose sum is σ = 6119822592. Its totient is φ = 927977600.

The previous prime is 2425441981. The next prime is 2425442011. The reversal of 2425442000 is 2445242.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19637 + ... + 72363.

Almost surely, 22425442000 is an apocalyptic number.

2425442000 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 2425442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3059911296).

2425442000 is an abundant number, since it is smaller than the sum of its proper divisors (3694380592).

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

2425442000 is a wasteful number, since it uses less digits than its factorization.

2425442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52773 (or 52757 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 23.

The square root of 2425442000 is about 49248.7766345521. The cubic root of 2425442000 is about 1343.5803117258.

Adding to 2425442000 its reverse (2445242), we get a palindrome (2427887242).

The spelling of 2425442000 in words is "two billion, four hundred twenty-five million, four hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 460 500 575 920 1000 1150 1840 2000 2300 2875 4600 5750 9200 11500 23000 46000 52727 105454 210908 263635 421816 527270 843632 1054540 1212721 1318175 2109080 2425442 2636350 4218160 4850884 5272700 6063605 6590875 9701768 10545400 12127210 13181750 19403536 21090800 24254420 26363500 30318025 48508840 52727000 60636050 97017680 105454000 121272100 151590125 242544200 303180250 485088400 606360500 1212721000 2425442000