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2048286564 = 22321923972
BaseRepresentation
bin111101000010110…
…0101111101100100
312021202012201221100
41322011211331210
513143330132224
6535125520100
7101521101642
oct17205457544
95252181840
102048286564
11961228015
12491b73030
132684828ac
14156068192
15bec4eac9
hex7a165f64

2048286564 has 81 divisors (see below), whose sum is σ = 5478260697. Its totient is φ = 645198048.

The previous prime is 2048286517. The next prime is 2048286577. The reversal of 2048286564 is 4656828402.

The square root of 2048286564 is 45258.

It is a perfect power (a square), and thus also a powerful number.

2048286564 is a `hidden beast` number, since 2 + 0 + 4 + 8 + 2 + 86 + 564 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1372702500 + 675584064 = 37050^2 + 25992^2 .

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 26 ways as a sum of consecutive naturals, for example, 5159214 + ... + 5159610.

Almost surely, 22048286564 is an apocalyptic number.

2048286564 is the 45258-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2048286564

2048286564 is an abundant number, since it is smaller than the sum of its proper divisors (3429974133).

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

2048286564 is a wasteful number, since it uses less digits than its factorization.

2048286564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The cubic root of 2048286564 is about 1269.9800695407.

The spelling of 2048286564 in words is "two billion, forty-eight million, two hundred eighty-six thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 361 397 684 722 794 1083 1191 1444 1588 2166 2382 3249 3573 4332 4764 6498 7146 7543 12996 14292 15086 22629 30172 45258 67887 90516 135774 143317 157609 271548 286634 315218 429951 472827 573268 630436 859902 945654 1289853 1418481 1719804 1891308 2579706 2836962 2994571 5159412 5673924 5989142 8983713 11978284 17967426 26951139 35934852 53902278 56896849 107804556 113793698 170690547 227587396 341381094 512071641 682762188 1024143282 2048286564