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2532964338 = 233419771171
BaseRepresentation
bin1001011011111001…
…1111011111110010
320112112012220212000
42112332133133302
520141414324323
61055202114430
7116524561452
oct22676373762
96475186760
102532964338
11108a879663
125a834ba16
13314a01788
141a0591d62
15ec58ce43
hex96f9f7f2

2532964338 has 64 divisors (see below), whose sum is σ = 5776928640. Its totient is φ = 822182400.

The previous prime is 2532964289. The next prime is 2532964387. The reversal of 2532964338 is 8334692352.

2532964338 is a `hidden beast` number, since 25 + 3 + 296 + 4 + 338 = 666.

It is an interprime number because it is at equal distance from previous prime (2532964289) and next prime (2532964387).

It is a junction number, because it is equal to n+sod(n) for n = 2532964293 and 2532964302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2162493 + ... + 2163663.

It is an arithmetic number, because the mean of its divisors is an integer number (90264510).

Almost surely, 22532964338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2532964338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2888464320).

2532964338 is an abundant number, since it is smaller than the sum of its proper divisors (3243964302).

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

2532964338 is a wasteful number, since it uses less digits than its factorization.

2532964338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2200 (or 2194 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The square root of 2532964338 is about 50328.5638380433. The cubic root of 2532964338 is about 1363.1480452049.

The spelling of 2532964338 in words is "two billion, five hundred thirty-two million, nine hundred sixty-four thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 246 369 738 977 1107 1171 1954 2214 2342 2931 3513 5862 7026 8793 10539 17586 21078 26379 31617 40057 48011 52758 63234 80114 96022 120171 144033 240342 288066 360513 432099 721026 864198 1081539 1144067 1296297 2163078 2288134 2592594 3432201 6864402 10296603 20593206 30889809 46906747 61779618 93813494 140720241 281440482 422160723 844321446 1266482169 2532964338