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53944080 = 2435733079
BaseRepresentation
bin1100110111000…
…1111100010000
310202111122100220
43031301330100
5102302202310
65204113040
71223342241
oct315617420
9122448326
1053944080
11284a4a93
1216095780
13b239698
147242cc8
154b08670
hex3371f10

53944080 has 80 divisors (see below), whose sum is σ = 169572480. Its totient is φ = 14183424.

The previous prime is 53944073. The next prime is 53944103. The reversal of 53944080 is 8044935.

53944080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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, 15981 + ... + 19059.

It is an arithmetic number, because the mean of its divisors is an integer number (2119656).

Almost surely, 253944080 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 53944080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84786240).

53944080 is an abundant number, since it is smaller than the sum of its proper divisors (115628400).

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

53944080 is a wasteful number, since it uses less digits than its factorization.

53944080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3168 (or 3162 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 53944080 is about 7344.6633687324. The cubic root of 53944080 is about 377.8457980813.

The spelling of 53944080 in words is "fifty-three million, nine hundred forty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 73 80 120 146 219 240 292 365 438 584 730 876 1095 1168 1460 1752 2190 2920 3079 3504 4380 5840 6158 8760 9237 12316 15395 17520 18474 24632 30790 36948 46185 49264 61580 73896 92370 123160 147792 184740 224767 246320 369480 449534 674301 738960 899068 1123835 1348602 1798136 2247670 2697204 3371505 3596272 4495340 5394408 6743010 8990680 10788816 13486020 17981360 26972040 53944080