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53944992 = 2532792371
BaseRepresentation
bin1100110111001…
…0001010100000
310202111200121200
43031302022200
5102302214432
65204121200
71223345013
oct315621240
9122450550
1053944992
11284a5742
1216096200
13b239c1a
14724337a
154b08a7c
hex33722a0

53944992 has 72 divisors (see below), whose sum is σ = 155413440. Its totient is φ = 17746560.

The previous prime is 53944987. The next prime is 53944997. The reversal of 53944992 is 29944935.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (53944987) and next prime (53944997).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (53944997) 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 11 ways as a sum of consecutive naturals, for example, 21567 + ... + 23937.

It is an arithmetic number, because the mean of its divisors is an integer number (2158520).

Almost surely, 253944992 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 53944992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77706720).

53944992 is an abundant number, since it is smaller than the sum of its proper divisors (101468448).

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

53944992 is a wasteful number, since it uses less digits than its factorization.

53944992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2466 (or 2455 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 53944992 is about 7344.7254543652. The cubic root of 53944992 is about 377.8479274063.

The spelling of 53944992 in words is "fifty-three million, nine hundred forty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 79 96 144 158 237 288 316 474 632 711 948 1264 1422 1896 2371 2528 2844 3792 4742 5688 7113 7584 9484 11376 14226 18968 21339 22752 28452 37936 42678 56904 75872 85356 113808 170712 187309 227616 341424 374618 561927 682848 749236 1123854 1498472 1685781 2247708 2996944 3371562 4495416 5993888 6743124 8990832 13486248 17981664 26972496 53944992