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2552131044 = 2233107269821
BaseRepresentation
bin1001100000011110…
…0110110111100100
320120212021200122000
42120013212313210
520211321143134
61101125005300
7120146520201
oct23007466744
96525250560
102552131044
11109a67a911
125b2853830
13318982818
141a2d40ca8
15ee0c6e99
hex981e6de4

2552131044 has 96 divisors (see below), whose sum is σ = 6711465600. Its totient is φ = 838604160.

The previous prime is 2552131039. The next prime is 2552131063. The reversal of 2552131044 is 4401312552.

2552131044 is a `hidden beast` number, since 2 + 552 + 1 + 3 + 104 + 4 = 666.

2552131044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2552130999 and 2552131017.

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, 3108154 + ... + 3108974.

It is an arithmetic number, because the mean of its divisors is an integer number (69911100).

Almost surely, 22552131044 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 2552131044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3355732800).

2552131044 is an abundant number, since it is smaller than the sum of its proper divisors (4159334556).

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

2552131044 is a wasteful number, since it uses less digits than its factorization.

2552131044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2552131044 is about 50518.6207650209. The cubic root of 2552131044 is about 1366.5776806890.

Adding to 2552131044 its reverse (4401312552), we get a palindrome (6953443596).

It can be divided in two parts, 25521 and 31044, that added together give a palindrome (56565).

The spelling of 2552131044 in words is "two billion, five hundred fifty-two million, one hundred thirty-one thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 107 108 214 269 321 428 538 642 807 821 963 1076 1284 1614 1642 1926 2421 2463 2889 3228 3284 3852 4842 4926 5778 7263 7389 9684 9852 11556 14526 14778 22167 28783 29052 29556 44334 57566 86349 87847 88668 115132 172698 175694 220849 259047 263541 345396 351388 441698 518094 527082 662547 777141 790623 883396 1036188 1054164 1325094 1554282 1581246 1987641 2371869 2650188 3108564 3162492 3975282 4743738 5962923 7950564 9487476 11925846 23630843 23851692 47261686 70892529 94523372 141785058 212677587 283570116 425355174 638032761 850710348 1276065522 2552131044