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1352440512 = 26328328289
BaseRepresentation
bin101000010011100…
…1001101011000000
310111020212002121100
41100213021223000
510232211044022
6342111254400
745341361153
oct12047115300
93436762540
101352440512
11634465635
12318b1a400
13187269177
14cb891c9a
157daed1ac
hex509c9ac0

1352440512 has 84 divisors (see below), whose sum is σ = 3923370360. Its totient is φ = 445366272.

The previous prime is 1352440511. The next prime is 1352440519. The reversal of 1352440512 is 2150442531.

It is not an unprimeable number, because it can be changed into a prime (1352440511) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33664 + ... + 61952.

It is an arithmetic number, because the mean of its divisors is an integer number (46706790).

Almost surely, 21352440512 is an apocalyptic number.

1352440512 is a gapful number since it is divisible by the number (12) 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 1352440512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1961685180).

1352440512 is an abundant number, since it is smaller than the sum of its proper divisors (2570929848).

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

1352440512 is a wasteful number, since it uses less digits than its factorization.

1352440512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28390 (or 28377 counting only the distinct ones).

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

The square root of 1352440512 is about 36775.5423073542. The cubic root of 1352440512 is about 1105.8750429718.

The spelling of 1352440512 in words is "one billion, three hundred fifty-two million, four hundred forty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 83 96 144 166 192 249 288 332 498 576 664 747 996 1328 1494 1992 2656 2988 3984 5312 5976 7968 11952 15936 23904 28289 47808 56578 84867 113156 169734 226312 254601 339468 452624 509202 678936 905248 1018404 1357872 1810496 2036808 2347987 2715744 4073616 4695974 5431488 7043961 8147232 9391948 14087922 16294464 18783896 21131883 28175844 37567792 42263766 56351688 75135584 84527532 112703376 150271168 169055064 225406752 338110128 450813504 676220256 1352440512