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68814450 = 23252374133
BaseRepresentation
bin1000001101000…
…00011001110010
311210111010200100
410012200121302
5120104030300
610454533230
71463625135
oct406403162
9153433610
1068814450
1135931351
121b067216
1311345013
1491d421c
156094700
hex41a0672

68814450 has 72 divisors (see below), whose sum is σ = 189924228. Its totient is φ = 17850240.

The previous prime is 68814443. The next prime is 68814457. The reversal of 68814450 is 5441886.

It is an interprime number because it is at equal distance from previous prime (68814443) and next prime (68814457).

It can be written as a sum of positive squares in 6 ways, for example, as 48483369 + 20331081 = 6963^2 + 4509^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (68814457) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14584 + ... + 18716.

Almost surely, 268814450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68814450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94962114).

68814450 is an abundant number, since it is smaller than the sum of its proper divisors (121109778).

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

68814450 is a wasteful number, since it uses less digits than its factorization.

68814450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4188 (or 4180 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 68814450 is about 8295.4475466969. The cubic root of 68814450 is about 409.7886080607.

The spelling of 68814450 in words is "sixty-eight million, eight hundred fourteen thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 37 45 50 74 75 90 111 150 185 222 225 333 370 450 555 666 925 1110 1665 1850 2775 3330 4133 5550 8266 8325 12399 16650 20665 24798 37197 41330 61995 74394 103325 123990 152921 185985 206650 305842 309975 371970 458763 619950 764605 917526 929925 1376289 1529210 1859850 2293815 2752578 3823025 4587630 6881445 7646050 11469075 13762890 22938150 34407225 68814450