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68252868 = 2235234371
BaseRepresentation
bin1000001000101…
…11010011000100
311202102121100000
410010113103010
5114433042433
610434521300
71456065645
oct404272304
9152377300
1068252868
1135588432
121aa36230
13111a9518
1490c96cc
155ed3113
hex41174c4

68252868 has 144 divisors (see below), whose sum is σ = 193729536. Its totient is φ = 20956320.

The previous prime is 68252867. The next prime is 68252869. The reversal of 68252868 is 86825286.

68252868 is a `hidden beast` number, since 68 + 2 + 528 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (68252867) and next prime (68252869).

It is not an unprimeable number, because it can be changed into a prime (68252861) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 961273 + ... + 961343.

It is an arithmetic number, because the mean of its divisors is an integer number (1345344).

Almost surely, 268252868 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 68252868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96864768).

68252868 is an abundant number, since it is smaller than the sum of its proper divisors (125476668).

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

68252868 is a wasteful number, since it uses less digits than its factorization.

68252868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 142 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 68252868 is about 8261.5293983620. The cubic root of 68252868 is about 408.6708255033.

The spelling of 68252868 in words is "sixty-eight million, two hundred fifty-two thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 43 46 54 69 71 81 86 92 108 129 138 142 162 172 207 213 243 258 276 284 324 387 414 426 486 516 621 639 774 828 852 972 989 1161 1242 1278 1548 1633 1863 1917 1978 2322 2484 2556 2967 3053 3266 3483 3726 3834 3956 4644 4899 5589 5751 5934 6106 6532 6966 7452 7668 8901 9159 9798 10449 11178 11502 11868 12212 13932 14697 17253 17802 18318 19596 20898 22356 23004 26703 27477 29394 34506 35604 36636 41796 44091 53406 54954 58788 69012 70219 80109 82431 88182 106812 109908 132273 140438 160218 164862 176364 210657 240327 247293 264546 280876 320436 329724 396819 421314 480654 494586 529092 631971 741879 793638 842628 961308 989172 1263942 1483758 1587276 1895913 2527884 2967516 3791826 5687739 7583652 11375478 17063217 22750956 34126434 68252868