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2425212032 = 2747599673
BaseRepresentation
bin1001000010001101…
…1100110010000000
320021000110112110212
42100203130302000
514431323241112
61040352413252
7114045651005
oct22043346200
96230415425
102425212032
111034a72771
12578247228
132c85a5509
141901438ac
15e2da6522
hex908dcc80

2425212032 has 64 divisors (see below), whose sum is σ = 4949856000. Its totient is φ = 1183064064.

The previous prime is 2425212007. The next prime is 2425212071. The reversal of 2425212032 is 2302125242.

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

It is a junction number, because it is equal to n+sod(n) for n = 2425211989 and 2425212007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3603248 + ... + 3603920.

It is an arithmetic number, because the mean of its divisors is an integer number (77341500).

Almost surely, 22425212032 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 2425212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2474928000).

2425212032 is an abundant number, since it is smaller than the sum of its proper divisors (2524643968).

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

2425212032 is an equidigital number, since it uses as much as digits as its factorization.

2425212032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 2425212032 is about 49246.4418207042. The cubic root of 2425212032 is about 1343.5378465802.

Adding to 2425212032 its reverse (2302125242), we get a palindrome (4727337274).

The spelling of 2425212032 in words is "two billion, four hundred twenty-five million, two hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 376 599 673 752 1198 1346 1504 2396 2692 3008 4792 5384 6016 9584 10768 19168 21536 28153 31631 38336 43072 56306 63262 76672 86144 112612 126524 225224 253048 403127 450448 506096 806254 900896 1012192 1612508 1801792 2024384 3225016 3603584 4048768 6450032 12900064 18946969 25800128 37893938 51600256 75787876 151575752 303151504 606303008 1212606016 2425212032