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52454208 = 263359761
BaseRepresentation
bin1100100000011…
…0001101000000
310122200221122110
43020012031000
5101412013313
65112135320
71204565502
oct310061500
9118627573
1052454208
1127677694
1215697540
13ab374c1
146d75d72
154911ec3
hex3206340

52454208 has 56 divisors (see below), whose sum is σ = 139354560. Its totient is φ = 17413120.

The previous prime is 52454203. The next prime is 52454221. The reversal of 52454208 is 80245425.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52454203) 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, 68548 + ... + 69308.

Almost surely, 252454208 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 52454208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69677280).

52454208 is an abundant number, since it is smaller than the sum of its proper divisors (86900352).

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

52454208 is a wasteful number, since it uses less digits than its factorization.

52454208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 52454208 is about 7242.5277355354. The cubic root of 52454208 is about 374.3347208856.

It can be divided in two parts, 5245 and 4208, that added together give a triangular number (9453 = T137).

The spelling of 52454208 in words is "fifty-two million, four hundred fifty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 359 718 761 1077 1436 1522 2154 2283 2872 3044 4308 4566 5744 6088 8616 9132 11488 12176 17232 18264 22976 24352 34464 36528 48704 68928 73056 146112 273199 546398 819597 1092796 1639194 2185592 3278388 4371184 6556776 8742368 13113552 17484736 26227104 52454208