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4257261112 = 2313592392903
BaseRepresentation
bin1111110111000000…
…1010011000111000
3101222200210021100111
43331300022120320
532204324323422
61542235514104
7210333056656
oct37560123070
911880707314
104257261112
111895127315
129a98b8934
1352b007120
142c559ddd6
1519db40a77
hexfdc0a638

4257261112 has 64 divisors (see below), whose sum is σ = 8781696000. Its totient is φ = 1922841984.

The previous prime is 4257261097. The next prime is 4257261143. The reversal of 4257261112 is 2111627524.

4257261112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1465053 + ... + 1467955.

It is an arithmetic number, because the mean of its divisors is an integer number (137214000).

Almost surely, 24257261112 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 4257261112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4390848000).

4257261112 is an abundant number, since it is smaller than the sum of its proper divisors (4524434888).

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

4257261112 is a wasteful number, since it uses less digits than its factorization.

4257261112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3220 (or 3216 counting only the distinct ones).

The product of its digits is 6720, while the sum is 31.

The square root of 4257261112 is about 65247.6904725370. The cubic root of 4257261112 is about 1620.7278535955.

Adding to 4257261112 its reverse (2111627524), we get a palindrome (6368888636).

It can be divided in two parts, 42572 and 61112, that added together give a square (103684 = 3222).

The spelling of 4257261112 in words is "four billion, two hundred fifty-seven million, two hundred sixty-one thousand, one hundred twelve".

Divisors: 1 2 4 8 13 26 52 59 104 118 236 239 472 478 767 956 1534 1912 2903 3068 3107 5806 6136 6214 11612 12428 14101 23224 24856 28202 37739 56404 75478 112808 150956 171277 183313 301912 342554 366626 685108 693817 733252 1370216 1387634 1466504 2226601 2775268 4453202 5550536 8906404 9019621 17812808 18039242 36078484 40935203 72156968 81870406 163740812 327481624 532157639 1064315278 2128630556 4257261112