Search a number
-
+
52217472 = 2731719421
BaseRepresentation
bin1100011100110…
…0011010000000
310122020220220110
43013030122000
5101331424342
65103111320
71202561346
oct307143200
9118226813
1052217472
112752583a
12155a2540
13aa83818
146d13996
1548b6c9c
hex31cc680

52217472 has 128 divisors (see below), whose sum is σ = 154958400. Its totient is φ = 15482880.

The previous prime is 52217441. The next prime is 52217479. The reversal of 52217472 is 27471225.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (52217479) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123822 + ... + 124242.

Almost surely, 252217472 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 52217472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77479200).

52217472 is an abundant number, since it is smaller than the sum of its proper divisors (102740928).

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

52217472 is a wasteful number, since it uses less digits than its factorization.

52217472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 462 counting only the distinct ones).

The product of its digits is 7840, while the sum is 30.

The square root of 52217472 is about 7226.1657883002. The cubic root of 52217472 is about 373.7707231903.

Adding to 52217472 its reverse (27471225), we get a palindrome (79688697).

The spelling of 52217472 in words is "fifty-two million, two hundred seventeen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 32 34 38 48 51 57 64 68 76 96 102 114 128 136 152 192 204 228 272 304 323 384 408 421 456 544 608 646 816 842 912 969 1088 1216 1263 1292 1632 1684 1824 1938 2176 2432 2526 2584 3264 3368 3648 3876 5052 5168 6528 6736 7157 7296 7752 7999 10104 10336 13472 14314 15504 15998 20208 20672 21471 23997 26944 28628 31008 31996 40416 41344 42942 47994 53888 57256 62016 63992 80832 85884 95988 114512 124032 127984 135983 161664 171768 191976 229024 255968 271966 343536 383952 407949 458048 511936 543932 687072 767904 815898 916096 1023872 1087864 1374144 1535808 1631796 2175728 2748288 3071616 3263592 4351456 6527184 8702912 13054368 17405824 26108736 52217472