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2530333432 = 23111031072609
BaseRepresentation
bin1001011011010001…
…1101001011111000
320112100021020221001
42112310131023320
520140231132212
61055025454344
7116463323254
oct22664351370
96470236831
102530333432
111089341a60
125a74a13b4
133142c0123
141a00a9264
15ec21d657
hex96d1d2f8

2530333432 has 64 divisors (see below), whose sum is σ = 5276793600. Its totient is φ = 1127907840.

The previous prime is 2530333331. The next prime is 2530333441. The reversal of 2530333432 is 2343330352.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2530333432.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 968544 + ... + 971152.

It is an arithmetic number, because the mean of its divisors is an integer number (82449900).

Almost surely, 22530333432 is an apocalyptic number.

2530333432 is a gapful number since it is divisible by the number (22) 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 2530333432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2638396800).

2530333432 is an abundant number, since it is smaller than the sum of its proper divisors (2746460168).

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

2530333432 is a wasteful number, since it uses less digits than its factorization.

2530333432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2836 (or 2832 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 28.

The square root of 2530333432 is about 50302.4197429905. The cubic root of 2530333432 is about 1362.6759294976.

Adding to 2530333432 its reverse (2343330352), we get a palindrome (4873663784).

The spelling of 2530333432 in words is "two billion, five hundred thirty million, three hundred thirty-three thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 88 103 107 206 214 412 428 824 856 1133 1177 2266 2354 2609 4532 4708 5218 9064 9416 10436 11021 20872 22042 28699 44084 57398 88168 114796 121231 229592 242462 268727 279163 484924 537454 558326 969848 1074908 1116652 2149816 2233304 2955997 3070793 5911994 6141586 11823988 12283172 23647976 24566344 28753789 57507578 115015156 230030312 316291679 632583358 1265166716 2530333432