Search a number
-
+
425727360 = 2733571347
BaseRepresentation
bin11001011000000…
…001010110000000
31002200002012011000
4121120001112000
51332441233420
6110124452000
713356423432
oct3130012600
91080065130
10425727360
111a93482a3
12ba6aa000
136a27b8a6
1440780652
1527596690
hex19601580

425727360 has 256 divisors, whose sum is σ = 1533427200. Its totient is φ = 111605760.

The previous prime is 425727359. The next prime is 425727361. The reversal of 425727360 is 63727524.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (425727359) and next prime (425727361).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425727361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1226707 + ... + 1227053.

It is an arithmetic number, because the mean of its divisors is an integer number (5989950).

Almost surely, 2425727360 is an apocalyptic number.

425727360 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 425727360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766713600).

425727360 is an abundant number, since it is smaller than the sum of its proper divisors (1107699840).

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

425727360 is a wasteful number, since it uses less digits than its factorization.

425727360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 425727360 is about 20633.1616578749. The cubic root of 425727360 is about 752.2759663167.

The spelling of 425727360 in words is "four hundred twenty-five million, seven hundred twenty-seven thousand, three hundred sixty".