Search a number
-
+
425033088 = 2731397963
BaseRepresentation
bin11001010101010…
…111110110000000
31002121202220210020
4121111113312000
51332302024323
6110101533440
713350502344
oct3125276600
91077686706
10425033088
111a8a13717
12ba414280
136a09788c
144063d624
15274aaae3
hex19557d80

425033088 has 64 divisors (see below), whose sum is σ = 1137259200. Its totient is φ = 140640768.

The previous prime is 425033087. The next prime is 425033093. The reversal of 425033088 is 880330524.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425033087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49395 + ... + 57357.

It is an arithmetic number, because the mean of its divisors is an integer number (17769675).

Almost surely, 2425033088 is an apocalyptic number.

425033088 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 425033088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568629600).

425033088 is an abundant number, since it is smaller than the sum of its proper divisors (712226112).

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

425033088 is a wasteful number, since it uses less digits than its factorization.

425033088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8119 (or 8107 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 425033088 is about 20616.3306143455. The cubic root of 425033088 is about 751.8668090655.

The spelling of 425033088 in words is "four hundred twenty-five million, thirty-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 139 192 278 384 417 556 834 1112 1668 2224 3336 4448 6672 7963 8896 13344 15926 17792 23889 26688 31852 47778 53376 63704 95556 127408 191112 254816 382224 509632 764448 1019264 1106857 1528896 2213714 3057792 3320571 4427428 6641142 8854856 13282284 17709712 26564568 35419424 53129136 70838848 106258272 141677696 212516544 425033088