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68532464 = 24711213389
BaseRepresentation
bin1000001010110…
…11100011110000
311202221210212102
410011123203300
5120021014324
610444515532
71461342050
oct405334360
9152853772
1068532464
1135759500
121ab4bba8
1311276870
14915d560
15603adae
hex415b8f0

68532464 has 120 divisors (see below), whose sum is σ = 180092640. Its totient is φ = 24583680.

The previous prime is 68532461. The next prime is 68532467. The reversal of 68532464 is 46423586.

It is an interprime number because it is at equal distance from previous prime (68532461) and next prime (68532467).

It is a super-2 number, since 2×685324642 = 9393397243822592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68532461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175982 + ... + 176370.

It is an arithmetic number, because the mean of its divisors is an integer number (1500772).

Almost surely, 268532464 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 68532464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90046320).

68532464 is an abundant number, since it is smaller than the sum of its proper divisors (111560176).

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

68532464 is a wasteful number, since it uses less digits than its factorization.

68532464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 422 counting only the distinct ones).

The product of its digits is 138240, while the sum is 38.

The square root of 68532464 is about 8278.4336682732. The cubic root of 68532464 is about 409.2281015117.

The spelling of 68532464 in words is "sixty-eight million, five hundred thirty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 121 143 154 176 182 208 242 286 308 364 389 484 572 616 728 778 847 968 1001 1144 1232 1456 1556 1573 1694 1936 2002 2288 2723 3112 3146 3388 4004 4279 5057 5446 6224 6292 6776 8008 8558 10114 10892 11011 12584 13552 16016 17116 20228 21784 22022 25168 29953 34232 35399 40456 43568 44044 47069 55627 59906 68464 70798 80912 88088 94138 111254 119812 141596 176176 188276 222508 239624 283192 329483 376552 389389 445016 479248 566384 611897 658966 753104 778778 890032 1223794 1317932 1557556 2447588 2635864 3115112 4283279 4895176 5271728 6230224 8566558 9790352 17133116 34266232 68532464