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50256768 = 273294513
BaseRepresentation
bin1011111110110…
…1101110000000
310111120022022210
42333231232000
5100331204033
64553102120
71150114122
oct277555600
9114508283
1050256768
1126406721
12149b7940
13a548243
146963212
15462ad63
hex2fedb80

50256768 has 64 divisors (see below), whose sum is σ = 138128400. Its totient is φ = 16171008.

The previous prime is 50256763. The next prime is 50256779. The reversal of 50256768 is 86765205.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50256761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8880 + ... + 13392.

Almost surely, 250256768 is an apocalyptic number.

50256768 is a gapful number since it is divisible by the number (58) 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 50256768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69064200).

50256768 is an abundant number, since it is smaller than the sum of its proper divisors (87871632).

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

50256768 is a wasteful number, since it uses less digits than its factorization.

50256768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4559 (or 4547 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 50256768 is about 7089.2008012187. The cubic root of 50256768 is about 369.0327010333.

The spelling of 50256768 in words is "fifty million, two hundred fifty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 348 384 464 696 928 1392 1856 2784 3712 4513 5568 9026 11136 13539 18052 27078 36104 54156 72208 108312 130877 144416 216624 261754 288832 392631 433248 523508 577664 785262 866496 1047016 1570524 1732992 2094032 3141048 4188064 6282096 8376128 12564192 16752256 25128384 50256768