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54365440 = 28542473
BaseRepresentation
bin1100111101100…
…0110100000000
310210022001100211
43033120310000
5102404143230
65221123504
71230045553
oct317306400
9123261324
1054365440
1128762618
1216259594
13b3563cc
14731269a
154b8d42a
hex33d8d00

54365440 has 36 divisors (see below), whose sum is σ = 130225284. Its totient is φ = 21745664.

The previous prime is 54365429. The next prime is 54365449. The reversal of 54365440 is 4456345.

It can be written as a sum of positive squares in 2 ways, for example, as 14017536 + 40347904 = 3744^2 + 6352^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54365449) 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 3 ways as a sum of consecutive naturals, for example, 19957 + ... + 22516.

It is an arithmetic number, because the mean of its divisors is an integer number (3617369).

Almost surely, 254365440 is an apocalyptic number.

It is an amenable number.

54365440 is an abundant number, since it is smaller than the sum of its proper divisors (75859844).

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

54365440 is an equidigital number, since it uses as much as digits as its factorization.

54365440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42494 (or 42480 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

The square root of 54365440 is about 7373.2923446721. The cubic root of 54365440 is about 378.8270386847.

The spelling of 54365440 in words is "fifty-four million, three hundred sixty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 42473 84946 169892 212365 339784 424730 679568 849460 1359136 1698920 2718272 3397840 5436544 6795680 10873088 13591360 27182720 54365440