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52506048 = 263725581
BaseRepresentation
bin1100100001001…
…0110111000000
310122210120202110
43020102313000
5101420143143
65113215320
71205202600
oct310226700
9118716673
1052506048
1127702631
1215701540
13ab54c8a
146d8ac00
154922533
hex3212dc0

52506048 has 84 divisors (see below), whose sum is σ = 161632392. Its totient is φ = 14999040.

The previous prime is 52506043. The next prime is 52506059. The reversal of 52506048 is 84060525.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-4 number, since 4×525060484 (a number of 32 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52506043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6618 + ... + 12198.

Almost surely, 252506048 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 52506048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80816196).

52506048 is an abundant number, since it is smaller than the sum of its proper divisors (109126344).

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

52506048 is a wasteful number, since it uses less digits than its factorization.

52506048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5610 (or 5593 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 52506048 is about 7246.1057127260. The cubic root of 52506048 is about 374.4579974438.

The spelling of 52506048 in words is "fifty-two million, five hundred six thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 392 448 588 672 784 1176 1344 1568 2352 3136 4704 5581 9408 11162 16743 22324 33486 39067 44648 66972 78134 89296 117201 133944 156268 178592 234402 267888 273469 312536 357184 468804 535776 546938 625072 820407 937608 1071552 1093876 1250144 1640814 1875216 2187752 2500288 3281628 3750432 4375504 6563256 7500864 8751008 13126512 17502016 26253024 52506048