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425801376 = 2532721113211
BaseRepresentation
bin11001011000010…
…011011010100000
31002200012221200100
4121120103122200
51333001121001
6110130222400
713360152300
oct3130233240
91080187610
10425801376
111a9398970
12ba724a00
136a2a64a0
144079d600
15275ad586
hex196136a0

425801376 has 432 divisors, whose sum is σ = 1662661728. Its totient is φ = 101606400.

The previous prime is 425801357. The next prime is 425801401. The reversal of 425801376 is 673108524.

425801376 is a `hidden beast` number, since 4 + 2 + 580 + 1 + 3 + 76 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 425801376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2017911 + ... + 2018121.

It is an arithmetic number, because the mean of its divisors is an integer number (3848754).

Almost surely, 2425801376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425801376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831330864).

425801376 is an abundant number, since it is smaller than the sum of its proper divisors (1236860352).

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

425801376 is a wasteful number, since it uses less digits than its factorization.

425801376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 425801376 is about 20634.9551974314. The cubic root of 425801376 is about 752.3195601255.

It can be divided in two parts, 42580 and 1376, that added together give a triangular number (43956 = T296).

The spelling of 425801376 in words is "four hundred twenty-five million, eight hundred one thousand, three hundred seventy-six".