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68163888 = 24313313349
BaseRepresentation
bin1000001000000…
…01100100110000
311202021002021110
410010001210300
5114422221023
610432553320
71455245352
oct404014460
9152232243
1068163888
11355275a1
121a9b2840
1311177b80
1490a50d2
155eb6a93
hex4101930

68163888 has 80 divisors (see below), whose sum is σ = 190786400. Its totient is φ = 20846592.

The previous prime is 68163877. The next prime is 68163919. The reversal of 68163888 is 88836186.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195138 + ... + 195486.

It is an arithmetic number, because the mean of its divisors is an integer number (2384830).

Almost surely, 268163888 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 68163888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95393200).

68163888 is an abundant number, since it is smaller than the sum of its proper divisors (122622512).

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

68163888 is a wasteful number, since it uses less digits than its factorization.

68163888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 680 counting only the distinct ones).

The product of its digits is 442368, while the sum is 48.

The square root of 68163888 is about 8256.1424406317. The cubic root of 68163888 is about 408.4931560772.

The spelling of 68163888 in words is "sixty-eight million, one hundred sixty-three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 313 349 624 626 698 939 1047 1252 1396 1878 2094 2504 2792 3756 4069 4188 4537 5008 5584 7512 8138 8376 9074 12207 13611 15024 16276 16752 18148 24414 27222 32552 36296 48828 54444 65104 72592 97656 108888 109237 195312 217776 218474 327711 436948 655422 873896 1310844 1420081 1747792 2621688 2840162 4260243 5243376 5680324 8520486 11360648 17040972 22721296 34081944 68163888