Search a number
-
+
425422032 = 24378271531
BaseRepresentation
bin11001010110110…
…110110011010000
31002122111200022120
4121112312303100
51332402001112
6110114134240
713354012320
oct3126666320
91078450276
10425422032
111a9159962
12ba581380
136a1a2919
1440701280
1527535e8c
hex195b6cd0

425422032 has 80 divisors (see below), whose sum is σ = 1258348032. Its totient is φ = 121322880.

The previous prime is 425421977. The next prime is 425422069. The reversal of 425422032 is 230224524.

It is a happy number.

It is a super-2 number, since 2×4254220322 = 361967810622018048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 425421993 and 425422011.

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, 277107 + ... + 278637.

Almost surely, 2425422032 is an apocalyptic number.

425422032 is a gapful number since it is divisible by the number (42) 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 425422032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629174016).

425422032 is an abundant number, since it is smaller than the sum of its proper divisors (832926000).

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

425422032 is a wasteful number, since it uses less digits than its factorization.

425422032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2376 (or 2370 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 425422032 is about 20625.7613677653. The cubic root of 425422032 is about 752.0960813555.

Adding to 425422032 its reverse (230224524), we get a palindrome (655646556).

The spelling of 425422032 in words is "four hundred twenty-five million, four hundred twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 827 1531 1654 2481 3062 3308 4593 4962 5789 6124 6616 9186 9924 10717 11578 12248 13232 17367 18372 19848 21434 23156 24496 32151 34734 36744 39696 42868 46312 64302 69468 73488 85736 92624 128604 138936 171472 257208 277872 514416 1266137 2532274 3798411 5064548 7596822 8862959 10129096 15193644 17725918 20258192 26588877 30387288 35451836 53177754 60774576 70903672 106355508 141807344 212711016 425422032