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1252306464 = 25323954581
BaseRepresentation
bin100101010100100…
…1010111000100000
310020021102202111220
41022221022320200
510031042301324
6324133135040
743014300153
oct11251127040
93207382456
101252306464
11592992422
122ab48a480
1316c5a9656
14bc467c9a
1574e1db79
hex4aa4ae20

1252306464 has 48 divisors (see below), whose sum is σ = 3301119360. Its totient is φ = 415681280.

The previous prime is 1252306463. The next prime is 1252306541. The reversal of 1252306464 is 4646032521.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (1252306463) 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, 4347 + ... + 50234.

It is an arithmetic number, because the mean of its divisors is an integer number (68773320).

Almost surely, 21252306464 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 1252306464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650559680).

1252306464 is an abundant number, since it is smaller than the sum of its proper divisors (2048812896).

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

1252306464 is a wasteful number, since it uses less digits than its factorization.

1252306464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54833 (or 54825 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 1252306464 is about 35387.9423532932. The cubic root of 1252306464 is about 1077.8794880674.

Adding to 1252306464 its reverse (4646032521), we get a palindrome (5898338985).

The spelling of 1252306464 in words is "one billion, two hundred fifty-two million, three hundred six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 239 478 717 956 1434 1912 2868 3824 5736 7648 11472 22944 54581 109162 163743 218324 327486 436648 654972 873296 1309944 1746592 2619888 5239776 13044859 26089718 39134577 52179436 78269154 104358872 156538308 208717744 313076616 417435488 626153232 1252306464