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53866944 = 263410391
BaseRepresentation
bin1100110101111…
…1000111000000
310202100201120000
43031133013000
5102242220234
65202320000
71222601325
oct315370700
9122321500
1053866944
112845203a
1216059000
13b210541
147222b4c
154ae0899
hex335f1c0

53866944 has 70 divisors (see below), whose sum is σ = 159693864. Its totient is φ = 17953920.

The previous prime is 53866937. The next prime is 53866963. The reversal of 53866944 is 44966835.

53866944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 53866944.

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 9 ways as a sum of consecutive naturals, for example, 12 + ... + 10379.

Almost surely, 253866944 is an apocalyptic number.

53866944 is a gapful number since it is divisible by the number (54) 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 53866944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79846932).

53866944 is an abundant number, since it is smaller than the sum of its proper divisors (105826920).

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

53866944 is a wasteful number, since it uses less digits than its factorization.

53866944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10415 (or 10396 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 53866944 is about 7339.4103305375. The cubic root of 53866944 is about 377.6656150937.

The spelling of 53866944 in words is "fifty-three million, eight hundred sixty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 10391 20782 31173 41564 62346 83128 93519 124692 166256 187038 249384 280557 332512 374076 498768 561114 665024 748152 841671 997536 1122228 1496304 1683342 1995072 2244456 2992608 3366684 4488912 5985216 6733368 8977824 13466736 17955648 26933472 53866944