Search a number
-
+
425476368 = 24335318583
BaseRepresentation
bin11001010111000…
…100000100010000
31002122121102212000
4121113010010100
51332410220433
6110115234000
713354326612
oct3127040420
91078542760
10425476368
111a9196769
12ba5a8900
136a1c1585
1440716db2
1527547113
hex195c4110

425476368 has 80 divisors (see below), whose sum is σ = 1244384640. Its totient is φ = 139142016.

The previous prime is 425476351. The next prime is 425476369. The reversal of 425476368 is 863674524.

425476368 is a `hidden beast` number, since 4 + 2 + 5 + 4 + 7 + 636 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (425476369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13605 + ... + 32187.

It is an arithmetic number, because the mean of its divisors is an integer number (15554808).

Almost surely, 2425476368 is an apocalyptic number.

425476368 is a gapful number since it is divisible by the number (48) 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 425476368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622192320).

425476368 is an abundant number, since it is smaller than the sum of its proper divisors (818908272).

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

425476368 is a wasteful number, since it uses less digits than its factorization.

425476368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18653 (or 18641 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 425476368 is about 20627.0785134493. The cubic root of 425476368 is about 752.1280998766.

The spelling of 425476368 in words is "four hundred twenty-five million, four hundred seventy-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 106 108 144 159 212 216 318 424 432 477 636 848 954 1272 1431 1908 2544 2862 3816 5724 7632 11448 18583 22896 37166 55749 74332 111498 148664 167247 222996 297328 334494 445992 501741 668988 891984 984899 1003482 1337976 1969798 2006964 2675952 2954697 3939596 4013928 5909394 7879192 8027856 8864091 11818788 15758384 17728182 23637576 26592273 35456364 47275152 53184546 70912728 106369092 141825456 212738184 425476368