Search a number
-
+
52205472 = 2534111831
BaseRepresentation
bin1100011100100…
…1011110100000
310122020022110000
43013021132200
5101331033342
65102540000
71202511354
oct307113640
9118208400
1052205472
1127517820
1215597600
13aa7b217
146d0d464
1548b344c
hex31c97a0

52205472 has 120 divisors (see below), whose sum is σ = 167584032. Its totient is φ = 15811200.

The previous prime is 52205471. The next prime is 52205473. The reversal of 52205472 is 27450225.

It is an interprime number because it is at equal distance from previous prime (52205471) and next prime (52205473).

It is a super-2 number, since 2×522054722 = 5450822613485568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (52205471) 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, 27597 + ... + 29427.

Almost surely, 252205472 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 52205472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83792016).

52205472 is an abundant number, since it is smaller than the sum of its proper divisors (115378560).

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

52205472 is a wasteful number, since it uses less digits than its factorization.

52205472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1864 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 52205472 is about 7225.3354247398. The cubic root of 52205472 is about 373.7420891455.

Adding to 52205472 its reverse (27450225), we get a palindrome (79655697).

The spelling of 52205472 in words is "fifty-two million, two hundred five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 198 216 264 288 297 324 352 396 432 528 594 648 792 864 891 1056 1188 1296 1584 1782 1831 2376 2592 3168 3564 3662 4752 5493 7128 7324 9504 10986 14256 14648 16479 20141 21972 28512 29296 32958 40282 43944 49437 58592 60423 65916 80564 87888 98874 120846 131832 148311 161128 175776 181269 197748 241692 263664 296622 322256 362538 395496 483384 527328 543807 593244 644512 725076 790992 966768 1087614 1186488 1450152 1581984 1631421 1933536 2175228 2372976 2900304 3262842 4350456 4745952 5800608 6525684 8700912 13051368 17401824 26102736 52205472