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52556688 = 2434107379
BaseRepresentation
bin1100100001111…
…1001110010000
310122220011020000
43020133032100
5101423303223
65114250000
71205503332
oct310371620
9118804200
1052556688
1127737688
1215726900
13ab72042
146da1452
154932543
hex321f390

52556688 has 100 divisors (see below), whose sum is σ = 153941040. Its totient is φ = 17309376.

The previous prime is 52556683. The next prime is 52556689. The reversal of 52556688 is 88665525.

52556688 is a `hidden beast` number, since 5 + 2 + 5 + 566 + 88 = 666.

It is not an unprimeable number, because it can be changed into a prime (52556681) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 138483 + ... + 138861.

Almost surely, 252556688 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 52556688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76970520).

52556688 is an abundant number, since it is smaller than the sum of its proper divisors (101384352).

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

52556688 is a wasteful number, since it uses less digits than its factorization.

52556688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 491 counting only the distinct ones).

The product of its digits is 576000, while the sum is 45.

The square root of 52556688 is about 7249.5991613330. The cubic root of 52556688 is about 374.5783420566.

The spelling of 52556688 in words is "fifty-two million, five hundred fifty-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 107 108 144 162 214 216 321 324 379 428 432 642 648 758 856 963 1137 1284 1296 1516 1712 1926 2274 2568 2889 3032 3411 3852 4548 5136 5778 6064 6822 7704 8667 9096 10233 11556 13644 15408 17334 18192 20466 23112 27288 30699 34668 40553 40932 46224 54576 61398 69336 81106 81864 121659 122796 138672 162212 163728 243318 245592 324424 364977 486636 491184 648848 729954 973272 1094931 1459908 1946544 2189862 2919816 3284793 4379724 5839632 6569586 8759448 13139172 17518896 26278344 52556688