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248682020 = 22589139709
BaseRepresentation
bin11101101001010…
…01011000100100
3122022221100121012
432310221120210
51002130311040
640402041352
76106522316
oct1664513044
9568840535
10248682020
11118413534
126b349258
133c6a0832
14250557b6
1516c73865
hexed29624

248682020 has 24 divisors (see below), whose sum is σ = 528103800. Its totient is φ = 98354432.

The previous prime is 248681999. The next prime is 248682059. The reversal of 248682020 is 20286842.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 38837824 + 209844196 = 6232^2 + 14486^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68075 + ... + 71634.

It is an arithmetic number, because the mean of its divisors is an integer number (22004325).

Almost surely, 2248682020 is an apocalyptic number.

248682020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248682020 is an abundant number, since it is smaller than the sum of its proper divisors (279421780).

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

248682020 is a wasteful number, since it uses less digits than its factorization.

248682020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139807 (or 139805 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 248682020 is about 15769.6550374445. The cubic root of 248682020 is about 628.8515400014.

The spelling of 248682020 in words is "two hundred forty-eight million, six hundred eighty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 89 178 356 445 890 1780 139709 279418 558836 698545 1397090 2794180 12434101 24868202 49736404 62170505 124341010 248682020