Search a number
-
+
425141136 = 2436741127
BaseRepresentation
bin11001010101110…
…010001110010000
31002121222102000000
4121111302032100
51332314004021
6110104130000
713351432350
oct3125621620
91077872000
10425141136
111a8a87912
12ba466900
136a104b04
144066ab60
15274ccb26
hex19572390

425141136 has 280 divisors, whose sum is σ = 1457240064. Its totient is φ = 117573120.

The previous prime is 425141089. The next prime is 425141153. The reversal of 425141136 is 631141524.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (2880) is a multiple of the sum of its prime divisors (180).

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 55 ways as a sum of consecutive naturals, for example, 3347505 + ... + 3347631.

Almost surely, 2425141136 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 425141136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728620032).

425141136 is an abundant number, since it is smaller than the sum of its proper divisors (1032098928).

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

425141136 is a wasteful number, since it uses less digits than its factorization.

425141136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 180 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 425141136 is about 20618.9508947473. The cubic root of 425141136 is about 751.9305145545.

The spelling of 425141136 in words is "four hundred twenty-five million, one hundred forty-one thousand, one hundred thirty-six".