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54523904 = 21179337
BaseRepresentation
bin1100111111111…
…1100000000000
310210121002201212
43033333200000
5102424231104
65224345252
71231305551
oct317774000
9123532655
1054523904
1128860686
1216315228
13b3b0586
147354328
154bc036e
hex33ff800

54523904 has 48 divisors (see below), whose sum is σ = 110728800. Its totient is φ = 26836992.

The previous prime is 54523867. The next prime is 54523933. The reversal of 54523904 is 40932545.

It is a happy number.

54523904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×545239042 = 5945712214802432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a zygodrome in base 2.

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 3 ways as a sum of consecutive naturals, for example, 161624 + ... + 161960.

It is an arithmetic number, because the mean of its divisors is an integer number (2306850).

Almost surely, 254523904 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 54523904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55364400).

54523904 is an abundant number, since it is smaller than the sum of its proper divisors (56204896).

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

54523904 is an equidigital number, since it uses as much as digits as its factorization.

54523904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 54523904 is about 7384.0303357990. The cubic root of 54523904 is about 379.1947491068.

The spelling of 54523904 in words is "fifty-four million, five hundred twenty-three thousand, nine hundred four".

Divisors: 1 2 4 8 16 32 64 79 128 158 256 316 337 512 632 674 1024 1264 1348 2048 2528 2696 5056 5392 10112 10784 20224 21568 26623 40448 43136 53246 80896 86272 106492 161792 172544 212984 345088 425968 690176 851936 1703872 3407744 6815488 13630976 27261952 54523904