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53363040 = 25351071039
BaseRepresentation
bin1100101110010…
…0000101100000
310201102010022220
43023210011200
5102130104130
65143431040
71215402243
oct313440540
9121363286
1053363040
1128138495
1215a55480
13b095083
14713125a
154a41410
hex32e4160

53363040 has 96 divisors (see below), whose sum is σ = 169827840. Its totient is φ = 14083584.

The previous prime is 53363029. The next prime is 53363041. The reversal of 53363040 is 4036335.

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

It is a super-2 number, since 2×533630402 = 5695228076083200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 53363040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53363041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50841 + ... + 51879.

It is an arithmetic number, because the mean of its divisors is an integer number (1769040).

Almost surely, 253363040 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 53363040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84913920).

53363040 is an abundant number, since it is smaller than the sum of its proper divisors (116464800).

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

53363040 is a wasteful number, since it uses less digits than its factorization.

53363040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 53363040 is about 7305.0010266940. The cubic root of 53363040 is about 376.4842861897.

Adding to 53363040 its reverse (4036335), we get a palindrome (57399375).

The spelling of 53363040 in words is "fifty-three million, three hundred sixty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 107 120 160 214 240 321 428 480 535 642 856 1039 1070 1284 1605 1712 2078 2140 2568 3117 3210 3424 4156 4280 5136 5195 6234 6420 8312 8560 10272 10390 12468 12840 15585 16624 17120 20780 24936 25680 31170 33248 41560 49872 51360 62340 83120 99744 111173 124680 166240 222346 249360 333519 444692 498720 555865 667038 889384 1111730 1334076 1667595 1778768 2223460 2668152 3335190 3557536 4446920 5336304 6670380 8893840 10672608 13340760 17787680 26681520 53363040