Search a number
-
+
57088022761 = 721122921072
BaseRepresentation
bin110101001010101101…
…100001100011101001
312110100120012000221101
4311022231201203221
51413404013212021
642120442241401
74060460121100
oct651255414351
9173316160841
1057088022761
1122235778500
12b0927b6261
1354ca384933
142a97c41037
151741c99a91
hexd4ab618e9

57088022761 has 81 divisors (see below), whose sum is σ = 76311460407. Its totient is φ = 42548832480.

The previous prime is 57088022731. The next prime is 57088022767. The reversal of 57088022761 is 16722088075.

The square root of 57088022761 is 238931.

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

57088022761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 29935574361 + 27152448400 = 173019^2 + 164780^2 .

It is not a de Polignac number, because 57088022761 - 27 = 57088022633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (57088022767) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 533532870 + ... + 533532976.

Almost surely, 257088022761 is an apocalyptic number.

57088022761 is the 238931-st square number.

57088022761 is the 119466-th centered octagonal number.

It is an amenable number.

57088022761 is a deficient number, since it is larger than the sum of its proper divisors (19223437646).

57088022761 is a wasteful number, since it uses less digits than its factorization.

57088022761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 46.

The spelling of 57088022761 in words is "fifty-seven billion, eighty-eight million, twenty-two thousand, seven hundred sixty-one".

Divisors: 1 7 11 29 49 77 107 121 203 319 539 749 841 847 1177 1421 2233 3103 3509 5243 5887 5929 8239 9251 11449 12947 15631 21721 24563 34133 41209 57673 64757 80143 89987 90629 101761 125939 152047 171941 238931 332021 375463 453299 561001 629909 634403 712327 881573 989857 1385329 1672517 2324147 2628241 3652231 4409363 4986289 6171011 6928999 9628609 9697303 10888427 16269029 18397687 25565617 40174541 48502993 67400263 67881121 76218989 105914699 178959319 281221787 471801841 533532923 741402893 1165061689 1968552509 5189820251 8155431823 57088022761