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53860480 = 275233659
BaseRepresentation
bin1100110101110…
…1100010000000
310202100101200121
43031131202000
5102242013410
65202230024
71222543432
oct315354200
9122311617
1053860480
11284481a3
1216055314
13b20a60b
147220652
154add9da
hex335d880

53860480 has 64 divisors (see below), whose sum is σ = 134395200. Its totient is φ = 20601856.

The previous prime is 53860447. The next prime is 53860481. The reversal of 53860480 is 8406835.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (53860481) 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 7 ways as a sum of consecutive naturals, for example, 12891 + ... + 16549.

It is an arithmetic number, because the mean of its divisors is an integer number (2099925).

Almost surely, 253860480 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 53860480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67197600).

53860480 is an abundant number, since it is smaller than the sum of its proper divisors (80534720).

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

53860480 is a wasteful number, since it uses less digits than its factorization.

53860480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3701 (or 3689 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 53860480 is about 7338.9699549732. The cubic root of 53860480 is about 377.6505079426.

The spelling of 53860480 in words is "fifty-three million, eight hundred sixty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 320 368 460 640 736 920 1472 1840 2944 3659 3680 7318 7360 14636 14720 18295 29272 36590 58544 73180 84157 117088 146360 168314 234176 292720 336628 420785 468352 585440 673256 841570 1170880 1346512 1683140 2341760 2693024 3366280 5386048 6732560 10772096 13465120 26930240 53860480