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54940056 = 233172892
BaseRepresentation
bin1101000110010…
…1000110011000
310211101020120220
43101211012120
5103031040211
65241320040
71234661043
oct321450630
9124336526
1054940056
1129015306
1216496020
13b4c7b12
147421c5a
154c53806
hex3465198

54940056 has 72 divisors (see below), whose sum is σ = 147562620. Its totient is φ = 17042432.

The previous prime is 54940021. The next prime is 54940057. The reversal of 54940056 is 65004945.

It is a junction number, because it is equal to n+sod(n) for n = 54939999 and 54940026.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54940057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 617260 + ... + 617348.

Almost surely, 254940056 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 54940056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73781310).

54940056 is an abundant number, since it is smaller than the sum of its proper divisors (92622564).

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

54940056 is a wasteful number, since it uses less digits than its factorization.

54940056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 54940056 is about 7412.1559616619. The cubic root of 54940056 is about 380.1570357421.

Multiplying 54940056 by its product of nonzero digits (21600), we get a square (1186705209600 = 10893602).

The spelling of 54940056 in words is "fifty-four million, nine hundred forty thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 89 102 136 178 204 267 289 356 408 534 578 712 867 1068 1156 1513 1734 2136 2312 3026 3468 4539 6052 6936 7921 9078 12104 15842 18156 23763 25721 31684 36312 47526 51442 63368 77163 95052 102884 134657 154326 190104 205768 269314 308652 403971 538628 617304 807942 1077256 1615884 2289169 3231768 4578338 6867507 9156676 13735014 18313352 27470028 54940056