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53335040 = 210511947
BaseRepresentation
bin1100101101110…
…1010000000000
310201100200220212
43023131100000
5102123210130
65143053252
71215224513
oct313352000
9121320825
1053335040
1128119450
1215a41228
13b0853c5
147124d7a
154a37e95
hex32dd400

53335040 has 88 divisors (see below), whose sum is σ = 139720032. Its totient is φ = 19374080.

The previous prime is 53335039. The next prime is 53335049. The reversal of 53335040 is 4053335.

It is a tau number, because it is divible by the number of its divisors (88).

It is a junction number, because it is equal to n+sod(n) for n = 53334997 and 53335015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53335049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55847 + ... + 56793.

Almost surely, 253335040 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 53335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69860016).

53335040 is an abundant number, since it is smaller than the sum of its proper divisors (86384992).

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

53335040 is a wasteful number, since it uses less digits than its factorization.

53335040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 23.

The square root of 53335040 is about 7303.0842799464. The cubic root of 53335040 is about 376.4184265966.

Adding to 53335040 its reverse (4053335), we get a palindrome (57388375).

The spelling of 53335040 in words is "fifty-three million, three hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 947 1024 1280 1408 1760 1894 2560 2816 3520 3788 4735 5120 5632 7040 7576 9470 10417 11264 14080 15152 18940 20834 28160 30304 37880 41668 52085 56320 60608 75760 83336 104170 121216 151520 166672 208340 242432 303040 333344 416680 484864 606080 666688 833360 969728 1212160 1333376 1666720 2424320 2666752 3333440 4848640 5333504 6666880 10667008 13333760 26667520 53335040