Search a number
-
+
52531416 = 2334737313
BaseRepresentation
bin1100100001100…
…1000011011000
310122211212120000
43020121003120
5101422001131
65113533000
71205336550
oct310310330
9118755500
1052531416
112771a6a3
1215714160
13ab636a2
146d96160
154929ce6
hex32190d8

52531416 has 160 divisors (see below), whose sum is σ = 173252640. Its totient is φ = 14556672.

The previous prime is 52531403. The next prime is 52531421. The reversal of 52531416 is 61413525.

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

It is a self number, because there is not a number n which added to its sum of digits gives 52531416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 167676 + ... + 167988.

It is an arithmetic number, because the mean of its divisors is an integer number (1082829).

Almost surely, 252531416 is an apocalyptic number.

52531416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52531416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86626320).

52531416 is an abundant number, since it is smaller than the sum of its proper divisors (120721224).

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

52531416 is a wasteful number, since it uses less digits than its factorization.

52531416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 362 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 52531416 is about 7247.8559588336. The cubic root of 52531416 is about 374.5182934885.

The spelling of 52531416 in words is "fifty-two million, five hundred thirty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 37 42 54 56 63 72 74 81 84 108 111 126 148 162 168 189 216 222 252 259 296 313 324 333 378 444 504 518 567 626 648 666 756 777 888 939 999 1036 1134 1252 1332 1512 1554 1878 1998 2072 2191 2268 2331 2504 2664 2817 2997 3108 3756 3996 4382 4536 4662 5634 5994 6216 6573 6993 7512 7992 8451 8764 9324 11268 11581 11988 13146 13986 16902 17528 18648 19719 20979 22536 23162 23976 25353 26292 27972 33804 34743 39438 41958 46324 50706 52584 55944 59157 67608 69486 78876 81067 83916 92648 101412 104229 118314 138972 157752 162134 167832 177471 202824 208458 236628 243201 277944 312687 324268 354942 416916 473256 486402 625374 648536 709884 729603 833832 938061 972804 1250748 1419768 1459206 1876122 1945608 2188809 2501496 2918412 3752244 4377618 5836824 6566427 7504488 8755236 13132854 17510472 26265708 52531416