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67993416 = 23323141743
BaseRepresentation
bin1000000110101…
…11111101001000
311201221102102200
410003113331020
5114401242131
610425200200
71453635351
oct403277510
9151842380
1067993416
1135420507
121a930060
13111183ba
14905cd28
155e812e6
hex40d7f48

67993416 has 96 divisors (see below), whose sum is σ = 194987520. Its totient is φ = 21369600.

The previous prime is 67993397. The next prime is 67993427. The reversal of 67993416 is 61439976.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91141 + ... + 91883.

It is an arithmetic number, because the mean of its divisors is an integer number (2031120).

Almost surely, 267993416 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 67993416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97493760).

67993416 is an abundant number, since it is smaller than the sum of its proper divisors (126994104).

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

67993416 is a wasteful number, since it uses less digits than its factorization.

67993416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 820 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 67993416 is about 8245.8120279327. The cubic root of 67993416 is about 408.1523364248.

The spelling of 67993416 in words is "sixty-seven million, nine hundred ninety-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 41 62 72 82 93 123 124 164 186 246 248 279 328 369 372 492 558 738 743 744 984 1116 1271 1476 1486 2229 2232 2542 2952 2972 3813 4458 5084 5944 6687 7626 8916 10168 11439 13374 15252 17832 22878 23033 26748 30463 30504 45756 46066 53496 60926 69099 91389 91512 92132 121852 138198 182778 184264 207297 243704 274167 276396 365556 414594 548334 552792 731112 829188 944353 1096668 1658376 1888706 2193336 2833059 3777412 5666118 7554824 8499177 11332236 16998354 22664472 33996708 67993416