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2530330352 = 2411471132707
BaseRepresentation
bin1001011011010001…
…1100011011110000
320112100021002200222
42112310130123300
520140231032402
61055025432212
7116463311264
oct22664343360
96470232628
102530330352
11108933a710
125a749b668
133142bb8c4
141a00a80a4
15ec21c7a2
hex96d1c6f0

2530330352 has 80 divisors (see below), whose sum is σ = 5512361472. Its totient is φ = 1115304960.

The previous prime is 2530330343. The next prime is 2530330381.

It is a happy number.

2530330352 is nontrivially palindromic in base 10.

2530330352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 933383 + ... + 936089.

Almost surely, 22530330352 is an apocalyptic number.

2530330352 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 2530330352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2756180736).

2530330352 is an abundant number, since it is smaller than the sum of its proper divisors (2982031120).

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

2530330352 is a wasteful number, since it uses less digits than its factorization.

2530330352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2886 (or 2880 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 26.

The square root of 2530330352 is about 50302.3891281518. The cubic root of 2530330352 is about 1362.6753766003.

It can be divided in two parts, 25303 and 30352, that added together give a palindrome (55655).

The spelling of 2530330352 in words is "two billion, five hundred thirty million, three hundred thirty thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 44 47 88 94 113 176 188 226 376 452 517 752 904 1034 1243 1808 2068 2486 2707 4136 4972 5311 5414 8272 9944 10622 10828 19888 21244 21656 29777 42488 43312 58421 59554 84976 116842 119108 127229 233684 238216 254458 305891 467368 476432 508916 611782 934736 1017832 1223564 1399519 2035664 2447128 2799038 3364801 4894256 5598076 6729602 11196152 13459204 14376877 22392304 26918408 28753754 53836816 57507508 115015016 158145647 230030032 316291294 632582588 1265165176 2530330352