Search a number
-
+
52958448 = 243553257
BaseRepresentation
bin1100101000000…
…1010011110000
310200122120100000
43022001103300
5102024132243
65131030000
71212065544
oct312012360
9120576300
1052958448
1127991514
121589b300
13ac82b7a
147067a24
1549b15d3
hex32814f0

52958448 has 120 divisors (see below), whose sum is σ = 157208688. Its totient is φ = 17252352.

The previous prime is 52958407. The next prime is 52958461. The reversal of 52958448 is 84485925.

52958448 is a `hidden beast` number, since 5 + 29 + 584 + 48 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 205936 + ... + 206192.

Almost surely, 252958448 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 52958448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78604344).

52958448 is an abundant number, since it is smaller than the sum of its proper divisors (104250240).

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

52958448 is a wasteful number, since it uses less digits than its factorization.

52958448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 315 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 52958448 is about 7277.2555266391. The cubic root of 52958448 is about 375.5303854896.

The spelling of 52958448 in words is "fifty-two million, nine hundred fifty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 81 106 108 144 159 162 212 216 243 257 318 324 424 432 477 486 514 636 648 771 848 954 972 1028 1272 1296 1431 1542 1908 1944 2056 2313 2544 2862 3084 3816 3888 4112 4293 4626 5724 6168 6939 7632 8586 9252 11448 12336 12879 13621 13878 17172 18504 20817 22896 25758 27242 27756 34344 37008 40863 41634 51516 54484 55512 62451 68688 81726 83268 103032 108968 111024 122589 124902 163452 166536 206064 217936 245178 249804 326904 333072 367767 490356 499608 653808 735534 980712 999216 1103301 1471068 1961424 2206602 2942136 3309903 4413204 5884272 6619806 8826408 13239612 17652816 26479224 52958448