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53285040 = 243552741
BaseRepresentation
bin1100101101000…
…1000010110000
310201021011100000
43023101002300
5102120110130
65142030000
71214625654
oct313210260
9121234300
1053285040
1128094926
1215a18300
13b068713
147110a64
154a28260
hex32d10b0

53285040 has 120 divisors (see below), whose sum is σ = 185644368. Its totient is φ = 14204160.

The previous prime is 53285039. The next prime is 53285047. The reversal of 53285040 is 4058235.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 53284995 and 53285013.

It is not an unprimeable number, because it can be changed into a prime (53285047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18070 + ... + 20810.

Almost surely, 253285040 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 53285040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92822184).

53285040 is an abundant number, since it is smaller than the sum of its proper divisors (132359328).

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

53285040 is a wasteful number, since it uses less digits than its factorization.

53285040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2769 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 53285040 is about 7299.6602660672. The cubic root of 53285040 is about 376.3007628260.

The spelling of 53285040 in words is "fifty-three million, two hundred eighty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1215 1296 1620 1944 2160 2430 2741 3240 3888 4860 5482 6480 8223 9720 10964 13705 16446 19440 21928 24669 27410 32892 41115 43856 49338 54820 65784 74007 82230 98676 109640 123345 131568 148014 164460 197352 219280 222021 246690 296028 328920 370035 394704 444042 493380 592056 657840 666063 740070 888084 986760 1110105 1184112 1332126 1480140 1776168 1973520 2220210 2664252 2960280 3330315 3552336 4440420 5328504 5920560 6660630 8880840 10657008 13321260 17761680 26642520 53285040