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53214408 = 2334136317
BaseRepresentation
bin1100101011111…
…1110011001000
310201010120110000
43022333303020
5102110330113
65140323000
71214213022
oct312776310
9121116400
1053214408
1128046855
12159a3460
13b042520
1470d3012
154a12373
hex32bfcc8

53214408 has 80 divisors (see below), whose sum is σ = 160540380. Its totient is φ = 16371072.

The previous prime is 53214361. The next prime is 53214431. The reversal of 53214408 is 80441235.

It can be written as a sum of positive squares in 2 ways, for example, as 51581124 + 1633284 = 7182^2 + 1278^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5266 + ... + 11582.

Almost surely, 253214408 is an apocalyptic number.

53214408 is the 4212-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53214408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80270190).

53214408 is an abundant number, since it is smaller than the sum of its proper divisors (107325972).

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

53214408 is a wasteful number, since it uses less digits than its factorization.

53214408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6348 (or 6335 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 53214408 is about 7294.8206283637. The cubic root of 53214408 is about 376.1344207782.

The spelling of 53214408 in words is "fifty-three million, two hundred fourteen thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1404 2106 2808 4212 6317 8424 12634 18951 25268 37902 50536 56853 75804 82121 113706 151608 164242 170559 227412 246363 328484 341118 454824 492726 511677 656968 682236 739089 985452 1023354 1364472 1478178 1970904 2046708 2217267 2956356 4093416 4434534 5912712 6651801 8869068 13303602 17738136 26607204 53214408