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54380568 = 23311297103
BaseRepresentation
bin1100111101110…
…0100000011000
310210022211010010
43033130200120
5102410134233
65221321520
71230140634
oct317344030
9123284103
1054380568
1128772a20
12162662a0
13b360268
147317dc4
154b92b63
hex33dc818

54380568 has 64 divisors (see below), whose sum is σ = 153446400. Its totient is φ = 15908480.

The previous prime is 54380567. The next prime is 54380587. The reversal of 54380568 is 86508345.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54380567) 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, 4105 + ... + 11207.

It is an arithmetic number, because the mean of its divisors is an integer number (2397600).

Almost surely, 254380568 is an apocalyptic number.

54380568 is a gapful number since it is divisible by the number (58) 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 54380568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76723200).

54380568 is an abundant number, since it is smaller than the sum of its proper divisors (99065832).

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

54380568 is a wasteful number, since it uses less digits than its factorization.

54380568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7152 (or 7148 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 54380568 is about 7374.3181379705. The cubic root of 54380568 is about 378.8621735299.

The spelling of 54380568 in words is "fifty-four million, three hundred eighty thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 116 132 174 232 264 319 348 638 696 957 1276 1914 2552 3828 7103 7656 14206 21309 28412 42618 56824 78133 85236 156266 170472 205987 234399 312532 411974 468798 617961 625064 823948 937596 1235922 1647896 1875192 2265857 2471844 4531714 4943688 6797571 9063428 13595142 18126856 27190284 54380568