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2532053544 = 2331933716477
BaseRepresentation
bin1001011011101100…
…0001001000101000
320112110111122110220
42112323001020220
520141201203134
61055130410040
7116514046206
oct22673011050
96473448426
102532053544
11108a307339
125a7b90920
13314773047
141a03d6076
15ec45d149
hex96ec1228

2532053544 has 64 divisors (see below), whose sum is σ = 6683476800. Its totient is φ = 797174784.

The previous prime is 2532053533. The next prime is 2532053549. The reversal of 2532053544 is 4453502352.

It is a happy number.

It is a super-2 number, since 2×25320535442 = 12822590299365919872, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2532053549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145434 + ... + 161910.

It is an arithmetic number, because the mean of its divisors is an integer number (104429325).

Almost surely, 22532053544 is an apocalyptic number.

2532053544 is a gapful number since it is divisible by the number (24) 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 2532053544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3341738400).

2532053544 is an abundant number, since it is smaller than the sum of its proper divisors (4151423256).

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

2532053544 is a wasteful number, since it uses less digits than its factorization.

2532053544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16842 (or 16838 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 33.

The square root of 2532053544 is about 50319.5145445582. The cubic root of 2532053544 is about 1362.9846403644.

Adding to 2532053544 its reverse (4453502352), we get a palindrome (6985555896).

The spelling of 2532053544 in words is "two billion, five hundred thirty-two million, fifty-three thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 337 456 674 1011 1348 2022 2696 4044 6403 8088 12806 16477 19209 25612 32954 38418 49431 51224 65908 76836 98862 131816 153672 197724 313063 395448 626126 939189 1252252 1878378 2504504 3756756 5552749 7513512 11105498 16658247 22210996 33316494 44421992 66632988 105502231 133265976 211004462 316506693 422008924 633013386 844017848 1266026772 2532053544