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68393536 = 262397479
BaseRepresentation
bin1000001001110…
…01101001000000
311202200202021221
410010321221000
5120002043121
610441524424
71460223031
oct404715100
9152622257
1068393536
1135674092
121aaa3714
1311228563
149124a88
15600eb41
hex4139a40

68393536 has 56 divisors (see below), whose sum is σ = 143377920. Its totient is φ = 32305152.

The previous prime is 68393531. The next prime is 68393557. The reversal of 68393536 is 63539386.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 68393492 and 68393501.

It is not an unprimeable number, because it can be changed into a prime (68393531) 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, 142545 + ... + 143023.

It is an arithmetic number, because the mean of its divisors is an integer number (2560320).

Almost surely, 268393536 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 68393536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71688960).

68393536 is an abundant number, since it is smaller than the sum of its proper divisors (74984384).

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

68393536 is a wasteful number, since it uses less digits than its factorization.

68393536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 601 counting only the distinct ones).

The product of its digits is 349920, while the sum is 43.

The square root of 68393536 is about 8270.0384521476. The cubic root of 68393536 is about 408.9513873871.

The spelling of 68393536 in words is "sixty-eight million, three hundred ninety-three thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 97 184 194 368 388 479 736 776 958 1472 1552 1916 2231 3104 3832 4462 6208 7664 8924 11017 15328 17848 22034 30656 35696 44068 46463 71392 88136 92926 142784 176272 185852 352544 371704 705088 743408 1068649 1486816 2137298 2973632 4274596 8549192 17098384 34196768 68393536