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425658240 = 2735571723
BaseRepresentation
bin11001010111110…
…000011110000000
31002122221200100000
4121113300132000
51332432030430
6110123200000
713356015060
oct3127603600
91078850300
10425658240
111a9300377
12ba676000
136a2562a7
14407633a0
1527580e60
hex195f0780

425658240 has 768 divisors, whose sum is σ = 1924715520. Its totient is φ = 87588864.

The previous prime is 425658229. The next prime is 425658251. The reversal of 425658240 is 42856524.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (425658229) and next prime (425658251).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 425658195 and 425658204.

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 95 ways as a sum of consecutive naturals, for example, 18506869 + ... + 18506891.

It is an arithmetic number, because the mean of its divisors is an integer number (2506140).

Almost surely, 2425658240 is an apocalyptic number.

425658240 is a gapful number since it is divisible by the number (40) 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 425658240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962357760).

425658240 is an abundant number, since it is smaller than the sum of its proper divisors (1499057280).

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

425658240 is a wasteful number, since it uses less digits than its factorization.

425658240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 425658240 is about 20631.4866163348. The cubic root of 425658240 is about 752.2352515824.

It can be divided in two parts, 42565 and 8240, that added together give a palindrome (50805).

The spelling of 425658240 in words is "four hundred twenty-five million, six hundred fifty-eight thousand, two hundred forty".