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257384050 = 25271166853
BaseRepresentation
bin11110101011101…
…01111001110010
3122221022110112121
433111311321302
51011342242200
641312344454
76243504550
oct1725657162
9587273477
10257384050
111223174a0
127224512a
1341429671
142627cbd0
15178e1e1a
hexf575e72

257384050 has 48 divisors (see below), whose sum is σ = 596872512. Its totient is φ = 80222400.

The previous prime is 257384047. The next prime is 257384069. The reversal of 257384050 is 50483752.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 257383997 and 257384015.

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, 29577 + ... + 37276.

It is an arithmetic number, because the mean of its divisors is an integer number (12434844).

Almost surely, 2257384050 is an apocalyptic number.

257384050 is an abundant number, since it is smaller than the sum of its proper divisors (339488462).

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

257384050 is a wasteful number, since it uses less digits than its factorization.

257384050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66883 (or 66878 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

The square root of 257384050 is about 16043.1932606947. The cubic root of 257384050 is about 636.1026577035.

Subtracting from 257384050 its sum of digits (34), we obtain a triangular number (257384016 = T22688).

The spelling of 257384050 in words is "two hundred fifty-seven million, three hundred eighty-four thousand, fifty".

Divisors: 1 2 5 7 10 11 14 22 25 35 50 55 70 77 110 154 175 275 350 385 550 770 1925 3850 66853 133706 334265 467971 668530 735383 935942 1470766 1671325 2339855 3342650 3676915 4679710 5147681 7353830 10295362 11699275 18384575 23398550 25738405 36769150 51476810 128692025 257384050