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67144288 = 2517123427
BaseRepresentation
bin1000000000010…
…00101001100000
311200100021122111
410000020221200
5114142104123
610355045104
71443500641
oct400105140
9150307574
1067144288
11349a0552
121a5a0794
1310baba63
148cbb6c8
155d6490d
hex4008a60

67144288 has 24 divisors (see below), whose sum is σ = 139967352. Its totient is φ = 31597056.

The previous prime is 67144279. The next prime is 67144289. The reversal of 67144288 is 88244176.

It is a super-2 number, since 2×671442882 = 9016710822053888, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 67144288.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67144289) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 61170 + ... + 62257.

It is an arithmetic number, because the mean of its divisors is an integer number (5831973).

Almost surely, 267144288 is an apocalyptic number.

67144288 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

67144288 is an abundant number, since it is smaller than the sum of its proper divisors (72823064).

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

67144288 is a wasteful number, since it uses less digits than its factorization.

67144288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123454 (or 123446 counting only the distinct ones).

The product of its digits is 86016, while the sum is 40.

The square root of 67144288 is about 8194.1618241282. The cubic root of 67144288 is about 406.4461595326.

The spelling of 67144288 in words is "sixty-seven million, one hundred forty-four thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 123427 246854 493708 987416 1974832 2098259 3949664 4196518 8393036 16786072 33572144 67144288