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67982048 = 251727351
BaseRepresentation
bin1000000110101…
…01001011100000
311201220211211122
410003111023200
5114400411143
610425031412
71453560251
oct403251340
9151824748
1067982048
1135412a12
121a925568
1311113184
149058b28
155e7cc68
hex40d52e0

67982048 has 36 divisors (see below), whose sum is σ = 142195032. Its totient is φ = 31987200.

The previous prime is 67982041. The next prime is 67982051. The reversal of 67982048 is 84028976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67982041) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5573 + ... + 12923.

It is an arithmetic number, because the mean of its divisors is an integer number (3949862).

Almost surely, 267982048 is an apocalyptic number.

67982048 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67982048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71097516).

67982048 is an abundant number, since it is smaller than the sum of its proper divisors (74212984).

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

67982048 is a wasteful number, since it uses less digits than its factorization.

67982048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7395 (or 7370 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The square root of 67982048 is about 8245.1226794997. The cubic root of 67982048 is about 408.1295884655.

The spelling of 67982048 in words is "sixty-seven million, nine hundred eighty-two thousand, forty-eight".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 289 544 578 1156 2312 4624 7351 9248 14702 29404 58808 117616 124967 235232 249934 499868 999736 1999472 2124439 3998944 4248878 8497756 16995512 33991024 67982048