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2532782142 = 2331119012243
BaseRepresentation
bin1001011011110111…
…0011000000111110
320112111212122221000
42112331303000332
520141343012032
61055154151130
7116523202332
oct22675630076
96474778830
102532782142
11108a764790
125a82824a6
13314969877
141a05457c2
15ec553e7c
hex96f7303e

2532782142 has 64 divisors (see below), whose sum is σ = 6146046720. Its totient is φ = 766764000.

The previous prime is 2532782089. The next prime is 2532782207. The reversal of 2532782142 is 2412872352.

2532782142 is a `hidden beast` number, since 2 + 532 + 7 + 82 + 1 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2532782097 and 2532782106.

It is a congruent number.

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, 1128073 + ... + 1130315.

It is an arithmetic number, because the mean of its divisors is an integer number (96031980).

Almost surely, 22532782142 is an apocalyptic number.

2532782142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2532782142 is an abundant number, since it is smaller than the sum of its proper divisors (3613264578).

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

2532782142 is a wasteful number, since it uses less digits than its factorization.

2532782142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4166 (or 4160 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 2532782142 is about 50326.7537399344. The cubic root of 2532782142 is about 1363.1153606973.

The spelling of 2532782142 in words is "two billion, five hundred thirty-two million, seven hundred eighty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 1901 2243 3802 4486 5703 6729 11406 13458 17109 20187 20911 24673 34218 40374 41822 49346 51327 60561 62733 74019 102654 121122 125466 148038 188199 222057 376398 444114 564597 666171 1129194 1332342 4263943 8527886 12791829 25583658 38375487 46903373 76750974 93806746 115126461 140710119 230252922 281420238 422130357 844260714 1266391071 2532782142