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1352307648 = 26313950671
BaseRepresentation
bin101000010011010…
…1001001111000000
310111020121100100110
41100212221033000
510232142321043
6342104351320
745340265616
oct12046511700
93436540313
101352307648
1163438482a
12318a75540
13187220853
14cb8596b6
157dac3b33
hex509a93c0

1352307648 has 56 divisors (see below), whose sum is σ = 3603792640. Its totient is φ = 447517440.

The previous prime is 1352307647. The next prime is 1352307661. The reversal of 1352307648 is 8467032531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1352307647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1353 + ... + 52023.

It is an arithmetic number, because the mean of its divisors is an integer number (64353440).

Almost surely, 21352307648 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 1352307648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1801896320).

1352307648 is an abundant number, since it is smaller than the sum of its proper divisors (2251484992).

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

1352307648 is a wasteful number, since it uses less digits than its factorization.

1352307648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50825 (or 50815 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 1352307648 is about 36773.7358450294. The cubic root of 1352307648 is about 1105.8388279979.

The spelling of 1352307648 in words is "one billion, three hundred fifty-two million, three hundred seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 139 192 278 417 556 834 1112 1668 2224 3336 4448 6672 8896 13344 26688 50671 101342 152013 202684 304026 405368 608052 810736 1216104 1621472 2432208 3242944 4864416 7043269 9728832 14086538 21129807 28173076 42259614 56346152 84519228 112692304 169038456 225384608 338076912 450769216 676153824 1352307648