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68763584 = 2619193293
BaseRepresentation
bin1000001100100…
…11111111000000
311210101112220102
410012103333000
5120100413314
610453501532
71463323631
oct406237700
9153345812
1068763584
11358a710a
121b0418a8
1311327b16
1491bd888
1560845de
hex4193fc0

68763584 has 56 divisors (see below), whose sum is σ = 144871440. Its totient is φ = 32292864.

The previous prime is 68763581. The next prime is 68763599. The reversal of 68763584 is 48536786.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68763581) 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, 234542 + ... + 234834.

It is an arithmetic number, because the mean of its divisors is an integer number (2586990).

Almost surely, 268763584 is an apocalyptic number.

68763584 is a gapful number since it is divisible by the number (64) 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 68763584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72435720).

68763584 is an abundant number, since it is smaller than the sum of its proper divisors (76107856).

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

68763584 is a wasteful number, since it uses less digits than its factorization.

68763584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 507 counting only the distinct ones).

The product of its digits is 967680, while the sum is 47.

The square root of 68763584 is about 8292.3810814506. The cubic root of 68763584 is about 409.6876145178.

The spelling of 68763584 in words is "sixty-eight million, seven hundred sixty-three thousand, five hundred eighty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 193 293 304 386 586 608 772 1172 1216 1544 2344 3088 3667 4688 5567 6176 7334 9376 11134 12352 14668 18752 22268 29336 44536 56549 58672 89072 113098 117344 178144 226196 234688 356288 452392 904784 1074431 1809568 2148862 3619136 4297724 8595448 17190896 34381792 68763584