Search a number
-
+
425809920 = 2113583167
BaseRepresentation
bin11001011000010…
…101100000000000
31002200020101101210
4121120111200000
51333001404140
6110130330120
713360216224
oct3130254000
91080211353
10425809920
111a93a4328
12ba729940
136a2aa343
14407a2784
15275b0d80
hex19615800

425809920 has 192 divisors, whose sum is σ = 1386927360. Its totient is φ = 111509504.

The previous prime is 425809919. The next prime is 425809961. The reversal of 425809920 is 29908524.

It is a tau number, because it is divible by the number of its divisors (192).

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, 2549677 + ... + 2549843.

It is an arithmetic number, because the mean of its divisors is an integer number (7223580).

Almost surely, 2425809920 is an apocalyptic number.

425809920 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 425809920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693463680).

425809920 is an abundant number, since it is smaller than the sum of its proper divisors (961117440).

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

425809920 is a wasteful number, since it uses less digits than its factorization.

425809920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 425809920 is about 20635.1622237384. The cubic root of 425809920 is about 752.3245920298.

The spelling of 425809920 in words is "four hundred twenty-five million, eight hundred nine thousand, nine hundred twenty".