Search a number
-
+
52041132 = 223211213919
BaseRepresentation
bin1100011010000…
…1010110101100
310121220222000100
43012201112230
5101310304012
65055231100
71201225263
oct306412654
9117828010
1052041132
1127415300
1215518490
13aa21490
146ca95da
15487e8dc
hex31a15ac

52041132 has 108 divisors (see below), whose sum is σ = 155886640. Its totient is φ = 14541120.

The previous prime is 52041107. The next prime is 52041139. The reversal of 52041132 is 23114025.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (52041139) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 56169 + ... + 57087.

Almost surely, 252041132 is an apocalyptic number.

52041132 is a gapful number since it is divisible by the number (52) 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 52041132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77943320).

52041132 is an abundant number, since it is smaller than the sum of its proper divisors (103845508).

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

52041132 is a wasteful number, since it uses less digits than its factorization.

52041132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 52041132 is about 7213.9539782286. The cubic root of 52041132 is about 373.3495036222.

Adding to 52041132 its reverse (23114025), we get a palindrome (75155157).

It can be divided in two parts, 5204 and 1132, that added together give a palindrome (6336).

The spelling of 52041132 in words is "fifty-two million, forty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 121 132 143 156 198 234 242 286 363 396 429 468 484 572 726 858 919 1089 1287 1452 1573 1716 1838 2178 2574 2757 3146 3676 4356 4719 5148 5514 6292 8271 9438 10109 11028 11947 14157 16542 18876 20218 23894 28314 30327 33084 35841 40436 47788 56628 60654 71682 90981 107523 111199 121308 131417 143364 181962 215046 222398 262834 333597 363924 394251 430092 444796 525668 667194 788502 1000791 1182753 1334388 1445587 1577004 2001582 2365506 2891174 4003164 4336761 4731012 5782348 8673522 13010283 17347044 26020566 52041132