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1252348704 = 25324348433
BaseRepresentation
bin100101010100101…
…0101001100100000
310020021111220110100
41022221111030200
510031100124304
6324134102400
743014534255
oct11251251440
93207456410
101252348704
11592a11132
122ab4aaa00
1316c5c2949
14bc47942c
1574e2b439
hex4aa55320

1252348704 has 36 divisors (see below), whose sum is σ = 3561367446. Its totient is φ = 417449472.

The previous prime is 1252348697. The next prime is 1252348709. The reversal of 1252348704 is 4078432521.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1141088400 + 111260304 = 33780^2 + 10548^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1252348709) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2173929 + ... + 2174504.

Almost surely, 21252348704 is an apocalyptic number.

It is an amenable number.

1252348704 is an abundant number, since it is smaller than the sum of its proper divisors (2309018742).

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

1252348704 is a wasteful number, since it uses less digits than its factorization.

1252348704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4348449 (or 4348438 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 1252348704 is about 35388.5391617117. The cubic root of 1252348704 is about 1077.8916068043.

The spelling of 1252348704 in words is "one billion, two hundred fifty-two million, three hundred forty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 4348433 8696866 13045299 17393732 26090598 34787464 39135897 52181196 69574928 78271794 104362392 139149856 156543588 208724784 313087176 417449568 626174352 1252348704