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248441652 = 223245715101
BaseRepresentation
bin11101100111011…
…10101100110100
3122022111010212200
432303232230310
51002100113102
640352544500
76104501454
oct1663565464
9568433780
10248441652
11118269988
126b252130
133c6182c4
1424dd1d64
1516c2751c
hexeceeb34

248441652 has 36 divisors (see below), whose sum is σ = 629421156. Its totient is φ = 82627200.

The previous prime is 248441623. The next prime is 248441693. The reversal of 248441652 is 256144842.

It can be written as a sum of positive squares in 2 ways, for example, as 122014116 + 126427536 = 11046^2 + 11244^2 .

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8902 + ... + 24002.

It is an arithmetic number, because the mean of its divisors is an integer number (17483921).

Almost surely, 2248441652 is an apocalyptic number.

It is an amenable number.

248441652 is an abundant number, since it is smaller than the sum of its proper divisors (380979504).

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

248441652 is a wasteful number, since it uses less digits than its factorization.

248441652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15568 (or 15563 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 248441652 is about 15762.0319756052. The cubic root of 248441652 is about 628.6488654991.

The spelling of 248441652 in words is "two hundred forty-eight million, four hundred forty-one thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 457 914 1371 1828 2742 4113 5484 8226 15101 16452 30202 45303 60404 90606 135909 181212 271818 543636 6901157 13802314 20703471 27604628 41406942 62110413 82813884 124220826 248441652