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253805652 = 223213751461
BaseRepresentation
bin11110010000011…
…00010001010100
3122200120122220100
433020030101110
51004433240102
641103534100
76201212112
oct1710142124
9580518810
10253805652
111202a2a41
1270bba330
1340775979
14259caab2
1517436a1c
hexf20c454

253805652 has 36 divisors (see below), whose sum is σ = 646259796. Its totient is φ = 83982720.

The previous prime is 253805633. The next prime is 253805653. The reversal of 253805652 is 256508352.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 128051856 + 125753796 = 11316^2 + 11214^2 .

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253805653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20799 + ... + 30662.

It is an arithmetic number, because the mean of its divisors is an integer number (17951661).

Almost surely, 2253805652 is an apocalyptic number.

It is an amenable number.

253805652 is an abundant number, since it is smaller than the sum of its proper divisors (392454144).

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

253805652 is a wasteful number, since it uses less digits than its factorization.

253805652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51608 (or 51603 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 253805652 is about 15931.2790446969. The cubic root of 253805652 is about 633.1409881891.

The spelling of 253805652 in words is "two hundred fifty-three million, eight hundred five thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 137 274 411 548 822 1233 1644 2466 4932 51461 102922 154383 205844 308766 463149 617532 926298 1852596 7050157 14100314 21150471 28200628 42300942 63451413 84601884 126902826 253805652