Search a number
-
+
68249272 = 23713241389
BaseRepresentation
bin1000001000101…
…10011010111000
311202102102101211
410010112122320
5114432434042
610434452504
71456052320
oct404263270
9152372354
1068249272
1135585763
121aa34134
13111a79b0
1490c8280
155ed2017
hex41166b8

68249272 has 64 divisors (see below), whose sum is σ = 158558400. Its totient is φ = 26818560.

The previous prime is 68249263. The next prime is 68249287. The reversal of 68249272 is 27294286.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175254 + ... + 175642.

It is an arithmetic number, because the mean of its divisors is an integer number (2477475).

Almost surely, 268249272 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 68249272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79279200).

68249272 is an abundant number, since it is smaller than the sum of its proper divisors (90309128).

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

68249272 is a wasteful number, since it uses less digits than its factorization.

68249272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 652 counting only the distinct ones).

The product of its digits is 96768, while the sum is 40.

The square root of 68249272 is about 8261.3117602473. The cubic root of 68249272 is about 408.6636482415.

The spelling of 68249272 in words is "sixty-eight million, two hundred forty-nine thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 241 364 389 482 728 778 964 1556 1687 1928 2723 3112 3133 3374 5057 5446 6266 6748 10114 10892 12532 13496 20228 21784 21931 25064 35399 40456 43862 70798 87724 93749 141596 175448 187498 283192 374996 656243 749992 1218737 1312486 2437474 2624972 4874948 5249944 8531159 9749896 17062318 34124636 68249272