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67678688 = 257113227
BaseRepresentation
bin1000000100010…
…11000111100000
311201100102201002
410002023013200
5114311204223
610414331132
71451154650
oct402130740
9151312632
1067678688
1135226000
121a7b9aa8
131103807c
148dba360
155e1ce28
hex408b1e0

67678688 has 96 divisors (see below), whose sum is σ = 168231168. Its totient is φ = 26252160.

The previous prime is 67678687. The next prime is 67678693. The reversal of 67678688 is 88687676.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67678687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 298031 + ... + 298257.

It is an arithmetic number, because the mean of its divisors is an integer number (1752408).

Almost surely, 267678688 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 67678688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84115584).

67678688 is an abundant number, since it is smaller than the sum of its proper divisors (100552480).

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

67678688 is a wasteful number, since it uses less digits than its factorization.

67678688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 247 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 56.

The square root of 67678688 is about 8226.7057805661. The cubic root of 67678688 is about 407.5216102557.

The spelling of 67678688 in words is "sixty-seven million, six hundred seventy-eight thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 121 154 176 224 227 242 308 352 454 484 616 847 908 968 1232 1331 1589 1694 1816 1936 2464 2497 2662 3178 3388 3632 3872 4994 5324 6356 6776 7264 9317 9988 10648 12712 13552 17479 18634 19976 21296 25424 27104 27467 34958 37268 39952 42592 50848 54934 69916 74536 79904 109868 139832 149072 192269 219736 279664 298144 302137 384538 439472 559328 604274 769076 878944 1208548 1538152 2114959 2417096 3076304 4229918 4834192 6152608 8459836 9668384 16919672 33839344 67678688