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53363024 = 24111383281
BaseRepresentation
bin1100101110010…
…0000101010000
310201102010022022
43023210011100
5102130104044
65143431012
71215402221
oct313440520
9121363268
1053363024
1128138480
1215a55468
13b095070
147131248
154a413ee
hex32e4150

53363024 has 80 divisors (see below), whose sum is σ = 123367104. Its totient is φ = 22041600.

The previous prime is 53362993. The next prime is 53363029. The reversal of 53363024 is 42036335.

It is a Cunningham number, because it is equal to 73052-1.

It is a super-2 number, since 2×533630242 = 5695224660849152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 53362984 and 53363002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53363029) 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, 189764 + ... + 190044.

Almost surely, 253363024 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 53363024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61683552).

53363024 is an abundant number, since it is smaller than the sum of its proper divisors (70004080).

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

53363024 is a wasteful number, since it uses less digits than its factorization.

53363024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 26.

The square root of 53363024 is about 7304.9999315537. Note that the first 4 decimals coincide. The cubic root of 53363024 is about 376.4842485622.

Adding to 53363024 its reverse (42036335), we get a palindrome (95399359).

The spelling of 53363024 in words is "fifty-three million, three hundred sixty-three thousand, twenty-four".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 83 88 104 143 166 176 208 281 286 332 562 572 664 913 1079 1124 1144 1328 1826 2158 2248 2288 3091 3652 3653 4316 4496 6182 7304 7306 8632 11869 12364 14608 14612 17264 23323 23738 24728 29224 40183 46646 47476 49456 58448 80366 93292 94952 160732 186584 189904 256553 303199 321464 373168 513106 606398 642928 1026212 1212796 2052424 2425592 3335189 4104848 4851184 6670378 13340756 26681512 53363024