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68612448 = 2537983109
BaseRepresentation
bin1000001011011…
…11000101100000
311210002212120210
410011233011200
5120031044243
610450334120
71462124202
oct405570540
9153085523
1068612448
1135803603
121ab8a340
13112a40a8
149180772
156054933
hex416f160

68612448 has 96 divisors (see below), whose sum is σ = 186278400. Its totient is φ = 22104576.

The previous prime is 68612447. The next prime is 68612449. The reversal of 68612448 is 84421686.

It is an interprime number because it is at equal distance from previous prime (68612447) and next prime (68612449).

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68612441) by changing a digit.

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, 629418 + ... + 629526.

It is an arithmetic number, because the mean of its divisors is an integer number (1940400).

Almost surely, 268612448 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 68612448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93139200).

68612448 is an abundant number, since it is smaller than the sum of its proper divisors (117665952).

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

68612448 is a wasteful number, since it uses less digits than its factorization.

68612448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 276 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 68612448 is about 8283.2631251216. The cubic root of 68612448 is about 409.3872425141.

The spelling of 68612448 in words is "sixty-eight million, six hundred twelve thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 83 96 109 158 166 218 237 249 316 327 332 436 474 498 632 654 664 872 948 996 1264 1308 1328 1744 1896 1992 2528 2616 2656 3488 3792 3984 5232 6557 7584 7968 8611 9047 10464 13114 17222 18094 19671 25833 26228 27141 34444 36188 39342 51666 52456 54282 68888 72376 78684 103332 104912 108564 137776 144752 157368 206664 209824 217128 275552 289504 314736 413328 434256 629472 714713 826656 868512 1429426 2144139 2858852 4288278 5717704 8576556 11435408 17153112 22870816 34306224 68612448