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53493760 = 2145653
BaseRepresentation
bin1100110000010…
…0000000000000
310201122202122101
43030010000000
5102143300020
65150320144
71216455325
oct314040000
9121582571
1053493760
1128217721
1215ab9054
13b10c718
147166b4c
154a6a00a
hex3304000

53493760 has 60 divisors (see below), whose sum is σ = 128577708. Its totient is φ = 21364736.

The previous prime is 53493757. The next prime is 53493773. The reversal of 53493760 is 6739435.

It can be written as a sum of positive squares in 2 ways, for example, as 15745024 + 37748736 = 3968^2 + 6144^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 81594 + ... + 82246.

Almost surely, 253493760 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 53493760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64288854).

53493760 is an abundant number, since it is smaller than the sum of its proper divisors (75083948).

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

53493760 is an frugal number, since it uses more digits than its factorization.

53493760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 37.

The square root of 53493760 is about 7313.9428491068. The cubic root of 53493760 is about 376.7914519422.

The spelling of 53493760 in words is "fifty-three million, four hundred ninety-three thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 653 1024 1280 1306 2048 2560 2612 3265 4096 5120 5224 6530 8192 10240 10448 13060 16384 20480 20896 26120 40960 41792 52240 81920 83584 104480 167168 208960 334336 417920 668672 835840 1337344 1671680 2674688 3343360 5349376 6686720 10698752 13373440 26746880 53493760