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2532027552 = 253196720719
BaseRepresentation
bin1001011011101011…
…1010110010100000
320112110110022211020
42112322322302200
520141144340202
61055130045440
7116513610345
oct22672726240
96473408736
102532027552
11108a29985a
125a7b79880
13314764272
141a03ca7cc
15ec4555bc
hex96ebaca0

2532027552 has 96 divisors (see below), whose sum is σ = 7101158400. Its totient is φ = 787615488.

The previous prime is 2532027527. The next prime is 2532027559. The reversal of 2532027552 is 2557202352.

2532027552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×25320275522 = 12822327048174225408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2532027559) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111849 + ... + 132567.

It is an arithmetic number, because the mean of its divisors is an integer number (73970400).

Almost surely, 22532027552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2532027552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3550579200).

2532027552 is an abundant number, since it is smaller than the sum of its proper divisors (4569130848).

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

2532027552 is a wasteful number, since it uses less digits than its factorization.

2532027552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20818 (or 20810 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 33.

The square root of 2532027552 is about 50319.2562743131. The cubic root of 2532027552 is about 1362.9799765849.

The spelling of 2532027552 in words is "two billion, five hundred thirty-two million, twenty-seven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 67 76 96 114 134 152 201 228 268 304 402 456 536 608 804 912 1072 1273 1608 1824 2144 2546 3216 3819 5092 6432 7638 10184 15276 20368 20719 30552 40736 41438 61104 62157 82876 122208 124314 165752 248628 331504 393661 497256 663008 787322 994512 1180983 1388173 1574644 1989024 2361966 2776346 3149288 4164519 4723932 5552692 6298576 8329038 9447864 11105384 12597152 16658076 18895728 22210768 26375287 33316152 37791456 44421536 52750574 66632304 79125861 105501148 133264608 158251722 211002296 316503444 422004592 633006888 844009184 1266013776 2532027552