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52188928 = 281143431
BaseRepresentation
bin1100011100010…
…1011100000000
310122012110202021
43013011130000
5101330021203
65102331224
71202412211
oct307053400
9118173667
1052188928
1127506350
1215589b14
13aa7382c
146d07408
1548ad5bd
hex31c5700

52188928 has 72 divisors (see below), whose sum is σ = 116557056. Its totient is φ = 23116800.

The previous prime is 52188911. The next prime is 52188973. The reversal of 52188928 is 82988125.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120873 + ... + 121303.

It is an arithmetic number, because the mean of its divisors is an integer number (1618848).

Almost surely, 252188928 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 52188928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58278528).

52188928 is an abundant number, since it is smaller than the sum of its proper divisors (64368128).

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

52188928 is a wasteful number, since it uses less digits than its factorization.

52188928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 487 counting only the distinct ones).

The product of its digits is 92160, while the sum is 43.

The square root of 52188928 is about 7224.1904736794. The cubic root of 52188928 is about 373.7026051466.

The spelling of 52188928 in words is "fifty-two million, one hundred eighty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 43 44 64 86 88 128 172 176 256 344 352 431 473 688 704 862 946 1376 1408 1724 1892 2752 2816 3448 3784 4741 5504 6896 7568 9482 11008 13792 15136 18533 18964 27584 30272 37066 37928 55168 60544 74132 75856 110336 121088 148264 151712 203863 296528 303424 407726 593056 606848 815452 1186112 1213696 1630904 2372224 3261808 4744448 6523616 13047232 26094464 52188928