Search a number
-
+
52219904 = 212111961
BaseRepresentation
bin1100011100110…
…1000000000000
310122021001020112
43013031000000
5101332014104
65103130452
71202601422
oct307150000
9118231215
1052219904
1127527650
12155a3a28
13aa84969
146d14812
1548b786e
hex31cd000

52219904 has 104 divisors (see below), whose sum is σ = 121882080. Its totient is φ = 22118400.

The previous prime is 52219901. The next prime is 52219907. The reversal of 52219904 is 40991225.

It is an interprime number because it is at equal distance from previous prime (52219901) and next prime (52219907).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52219901) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 856034 + ... + 856094.

Almost surely, 252219904 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 52219904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60941040).

52219904 is an abundant number, since it is smaller than the sum of its proper divisors (69662176).

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

52219904 is a wasteful number, since it uses less digits than its factorization.

52219904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 52219904 is about 7226.3340636868. The cubic root of 52219904 is about 373.7765258221.

The spelling of 52219904 in words is "fifty-two million, two hundred nineteen thousand, nine hundred four".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 61 64 76 88 122 128 152 176 209 244 256 304 352 418 488 512 608 671 704 836 976 1024 1159 1216 1342 1408 1672 1952 2048 2318 2432 2684 2816 3344 3904 4096 4636 4864 5368 5632 6688 7808 9272 9728 10736 11264 12749 13376 15616 18544 19456 21472 22528 25498 26752 31232 37088 38912 42944 45056 50996 53504 62464 74176 77824 85888 101992 107008 124928 148352 171776 203984 214016 249856 296704 343552 407968 428032 593408 687104 815936 856064 1186816 1374208 1631872 2373632 2748416 3263744 4747264 6527488 13054976 26109952 52219904