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53216640 = 273259239
BaseRepresentation
bin1100101100000…
…0010110000000
310201010200111200
43023000112000
5102110413030
65140341200
71214222361
oct313002600
9121120450
1053216640
11280484a4
12159a4800
13b043549
1470d3b68
154a12d60
hex32c0580

53216640 has 96 divisors (see below), whose sum is σ = 183783600. Its totient is φ = 14189568.

The previous prime is 53216633. The next prime is 53216689. The reversal of 53216640 is 4661235.

53216640 is a `hidden beast` number, since 5 + 3 + 2 + 16 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×532166403 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1141 + ... + 10379.

Almost surely, 253216640 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 53216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91891800).

53216640 is an abundant number, since it is smaller than the sum of its proper divisors (130566960).

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

53216640 is a wasteful number, since it uses less digits than its factorization.

53216640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9264 (or 9249 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 53216640 is about 7294.9736120153. The cubic root of 53216640 is about 376.1396795061.

Adding to 53216640 its reverse (4661235), we get a palindrome (57877875).

The spelling of 53216640 in words is "fifty-three million, two hundred sixteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 9239 18478 27717 36956 46195 55434 73912 83151 92390 110868 138585 147824 166302 184780 221736 277170 295648 332604 369560 415755 443472 554340 591296 665208 739120 831510 886944 1108680 1182592 1330416 1478240 1663020 1773888 2217360 2660832 2956480 3326040 3547776 4434720 5321664 5912960 6652080 8869440 10643328 13304160 17738880 26608320 53216640