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57032705 = 5172291361
BaseRepresentation
bin1101100110010…
…0000000000001
310222022120011102
43121210000001
5104100021310
65354224145
71261525052
oct331440001
9128276142
1057032705
112a214574
1217125055
13ba7b482
147808729
1550188a5
hex3664001

57032705 has 24 divisors (see below), whose sum is σ = 75264120. Its totient is φ = 41431040.

The previous prime is 57032687. The next prime is 57032711. The reversal of 57032705 is 50723075.

It is a Cunningham number, because it is equal to 75522+1.

It can be written as a sum of positive squares in 12 ways, for example, as 6210064 + 50822641 = 2492^2 + 7129^2 .

It is not a de Polignac number, because 57032705 - 218 = 56770561 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41225 + ... + 42585.

It is an arithmetic number, because the mean of its divisors is an integer number (3136005).

It is a Proth number, since it is equal to 3481 ⋅ 214 + 1 and 3481 < 214.

Almost surely, 257032705 is an apocalyptic number.

It is an amenable number.

57032705 is a deficient number, since it is larger than the sum of its proper divisors (18231415).

57032705 is a wasteful number, since it uses less digits than its factorization.

57032705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 7350, while the sum is 29.

The square root of 57032705 is about 7552.0000662076. Note that the first 4 decimals coincide. The cubic root of 57032705 is about 384.9237044520.

The spelling of 57032705 in words is "fifty-seven million, thirty-two thousand, seven hundred five".

Divisors: 1 5 17 29 85 145 289 493 1361 1445 2465 6805 8381 23137 39469 41905 115685 197345 393329 670973 1966645 3354865 11406541 57032705