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68157648 = 243213231583
BaseRepresentation
bin1000001000000…
…00000011010000
311202020202201100
410010000003100
5114422021043
610432504400
71455221226
oct404000320
9152222640
1068157648
1135522939
121a9ab100
1311175090
1490a2b16
155eb4cd3
hex41000d0

68157648 has 120 divisors (see below), whose sum is σ = 214486272. Its totient is φ = 20047104.

The previous prime is 68157647. The next prime is 68157659. The reversal of 68157648 is 84675186.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68157643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42265 + ... + 43847.

Almost surely, 268157648 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 68157648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107243136).

68157648 is an abundant number, since it is smaller than the sum of its proper divisors (146328624).

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

68157648 is a wasteful number, since it uses less digits than its factorization.

68157648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633 (or 1624 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 68157648 is about 8255.7645315258. The cubic root of 68157648 is about 408.4806906542.

The spelling of 68157648 in words is "sixty-eight million, one hundred fifty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 23 24 26 36 39 46 48 52 69 72 78 92 104 117 138 144 156 184 207 208 234 276 299 312 368 414 468 552 598 624 828 897 936 1104 1196 1583 1656 1794 1872 2392 2691 3166 3312 3588 4749 4784 5382 6332 7176 9498 10764 12664 14247 14352 18996 20579 21528 25328 28494 36409 37992 41158 43056 56988 61737 72818 75984 82316 109227 113976 123474 145636 164632 185211 218454 227952 246948 291272 327681 329264 370422 436908 473317 493896 582544 655362 740844 873816 946634 987792 1310724 1419951 1481688 1747632 1893268 2621448 2839902 2963376 3786536 4259853 5242896 5679804 7573072 8519706 11359608 17039412 22719216 34078824 68157648