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68148224 = 210611091
BaseRepresentation
bin1000000111111…
…01110000000000
311202020021210022
410003331300000
5114421220344
610432353012
71455151604
oct403756000
9152207708
1068148224
1135516851
121a9a5768
13111709c1
14909d504
155eb20ee
hex40fdc00

68148224 has 44 divisors (see below), whose sum is σ = 138590088. Its totient is φ = 33484800.

The previous prime is 68148211. The next prime is 68148251. The reversal of 68148224 is 42284186.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 61919 + ... + 63009.

Almost surely, 268148224 is an apocalyptic number.

68148224 is a gapful number since it is divisible by the number (64) 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 68148224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69295044).

68148224 is an abundant number, since it is smaller than the sum of its proper divisors (70441864).

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

68148224 is a wasteful number, since it uses less digits than its factorization.

68148224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1154 counting only the distinct ones).

The product of its digits is 24576, while the sum is 35.

The square root of 68148224 is about 8255.1937590828. The cubic root of 68148224 is about 408.4618632271.

The spelling of 68148224 in words is "sixty-eight million, one hundred forty-eight thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 488 512 976 1024 1091 1952 2182 3904 4364 7808 8728 15616 17456 31232 34912 62464 66551 69824 133102 139648 266204 279296 532408 558592 1064816 1117184 2129632 4259264 8518528 17037056 34074112 68148224