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54096952 = 23713193911
BaseRepresentation
bin1100111001011…
…1010000111000
310202210102001211
43032113100320
5102322100302
65211252504
71224550030
oct316272070
9122712054
1054096952
1128599928
121614a134
13b291140
1472828c0
154b38ad7
hex3397438

54096952 has 64 divisors (see below), whose sum is σ = 131443200. Its totient is φ = 20269440.

The previous prime is 54096947. The next prime is 54096961. The reversal of 54096952 is 25969045.

54096952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11877 + ... + 15787.

It is an arithmetic number, because the mean of its divisors is an integer number (2053800).

Almost surely, 254096952 is an apocalyptic number.

54096952 is a gapful number since it is divisible by the number (52) 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 54096952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65721600).

54096952 is an abundant number, since it is smaller than the sum of its proper divisors (77346248).

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

54096952 is a wasteful number, since it uses less digits than its factorization.

54096952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3956 (or 3952 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 40.

The square root of 54096952 is about 7355.0630180849. The cubic root of 54096952 is about 378.2023868839.

The spelling of 54096952 in words is "fifty-four million, ninety-six thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 19 26 28 38 52 56 76 91 104 133 152 182 247 266 364 494 532 728 988 1064 1729 1976 3458 3911 6916 7822 13832 15644 27377 31288 50843 54754 74309 101686 109508 148618 203372 219016 297236 355901 406744 520163 594472 711802 966017 1040326 1423604 1932034 2080652 2847208 3864068 4161304 6762119 7728136 13524238 27048476 54096952