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68590592 = 210721367
BaseRepresentation
bin1000001011010…
…01110000000000
311210001202121022
410011221300000
5120024344332
610450045012
71462003400
oct405516000
9153052538
1068590592
1135799144
121ab79768
1311297165
149176800
15604d212
hex4169c00

68590592 has 66 divisors (see below), whose sum is σ = 159616872. Its totient is φ = 29374464.

The previous prime is 68590591. The next prime is 68590601. The reversal of 68590592 is 29509586.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68590591) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 49493 + ... + 50859.

Almost surely, 268590592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68590592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79808436).

68590592 is an abundant number, since it is smaller than the sum of its proper divisors (91026280).

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

68590592 is a wasteful number, since it uses less digits than its factorization.

68590592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 44.

The square root of 68590592 is about 8281.9437332066. The cubic root of 68590592 is about 409.3437687807.

The spelling of 68590592 in words is "sixty-eight million, five hundred ninety thousand, five hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1024 1367 1568 1792 2734 3136 3584 5468 6272 7168 9569 10936 12544 19138 21872 25088 38276 43744 50176 66983 76552 87488 133966 153104 174976 267932 306208 349952 535864 612416 699904 1071728 1224832 1399808 2143456 2449664 4286912 4899328 8573824 9798656 17147648 34295296 68590592