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57473064 = 2334112733
BaseRepresentation
bin1101101100111…
…1100000101000
311000010221020000
43123033200220
5104203114224
65411503000
71265340645
oct333174050
9130127200
1057473064
112a495400
12172b7a60
13bba3a3c
1478c0dcc
1550a40c9
hex36cf828

57473064 has 120 divisors (see below), whose sum is σ = 177183930. Its totient is φ = 17392320.

The previous prime is 57473063. The next prime is 57473083. The reversal of 57473064 is 46037475.

57473064 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., 32970564 + 24502500 = 5742^2 + 4950^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (57473063) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 78042 + ... + 78774.

Almost surely, 257473064 is an apocalyptic number.

57473064 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57473064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88591965).

57473064 is an abundant number, since it is smaller than the sum of its proper divisors (119710866).

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

57473064 is a wasteful number, since it uses less digits than its factorization.

57473064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 57473064 is about 7581.0991287544. The cubic root of 57473064 is about 385.9118522264.

The spelling of 57473064 in words is "fifty-seven million, four hundred seventy-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 121 132 162 198 216 242 264 297 324 363 396 484 594 648 726 733 792 891 968 1089 1188 1452 1466 1782 2178 2199 2376 2904 2932 3267 3564 4356 4398 5864 6534 6597 7128 8063 8712 8796 9801 13068 13194 16126 17592 19602 19791 24189 26136 26388 32252 39204 39582 48378 52776 59373 64504 72567 78408 79164 88693 96756 118746 145134 158328 177386 193512 217701 237492 266079 290268 354772 435402 474984 532158 580536 653103 709544 798237 870804 1064316 1306206 1596474 1741608 2128632 2394711 2612412 3192948 4789422 5224824 6385896 7184133 9578844 14368266 19157688 28736532 57473064