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67276048 = 2475910181
BaseRepresentation
bin1000000001010…
…00110100010000
311200120222101111
410000220310100
5114210313143
610401543104
71444560040
oct400506420
9150528344
1067276048
1134a80544
121a644a94
1310c26a18
148d13720
155d8d99d
hex4028d10

67276048 has 40 divisors (see below), whose sum is σ = 151508160. Its totient is φ = 28341120.

The previous prime is 67276031. The next prime is 67276049. The reversal of 67276048 is 84067276.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 67276048.

It is not an unprimeable number, because it can be changed into a prime (67276049) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1518 + ... + 11698.

It is an arithmetic number, because the mean of its divisors is an integer number (3787704).

Almost surely, 267276048 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 67276048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75754080).

67276048 is an abundant number, since it is smaller than the sum of its proper divisors (84232112).

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

67276048 is a wasteful number, since it uses less digits than its factorization.

67276048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10255 (or 10249 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The square root of 67276048 is about 8202.1977542607. The cubic root of 67276048 is about 406.7118478273.

The spelling of 67276048 in words is "sixty-seven million, two hundred seventy-six thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 59 112 118 236 413 472 826 944 1652 3304 6608 10181 20362 40724 71267 81448 142534 162896 285068 570136 600679 1140272 1201358 2402716 4204753 4805432 8409506 9610864 16819012 33638024 67276048