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52032024 = 23331161359
BaseRepresentation
bin1100011001111…
…1001000011000
310121220111112000
43012133020120
5101310011044
65055121000
71201156602
oct306371030
9117814460
1052032024
1127409480
1215513160
13aa1a2a5
146ca6172
15487bd69
hex319f218

52032024 has 128 divisors (see below), whose sum is σ = 160704000. Its totient is φ = 15465600.

The previous prime is 52032017. The next prime is 52032037. The reversal of 52032024 is 42023025.

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

It is a junction number, because it is equal to n+sod(n) for n = 52031988 and 52032006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144757 + ... + 145115.

It is an arithmetic number, because the mean of its divisors is an integer number (1255500).

Almost surely, 252032024 is an apocalyptic number.

52032024 is a gapful number since it is divisible by the number (54) 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 52032024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80352000).

52032024 is an abundant number, since it is smaller than the sum of its proper divisors (108671976).

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

52032024 is a wasteful number, since it uses less digits than its factorization.

52032024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 52032024 is about 7213.3226740525. The cubic root of 52032024 is about 373.3277217127.

Adding to 52032024 its reverse (42023025), we get a palindrome (94055049).

It can be divided in two parts, 5203 and 2024, that added together give a palindrome (7227).

The spelling of 52032024 in words is "fifty-two million, thirty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 61 66 72 88 99 108 122 132 183 198 216 244 264 297 359 366 396 488 549 594 671 718 732 792 1077 1098 1188 1342 1436 1464 1647 2013 2154 2196 2376 2684 2872 3231 3294 3949 4026 4308 4392 5368 6039 6462 6588 7898 8052 8616 9693 11847 12078 12924 13176 15796 16104 18117 19386 21899 23694 24156 25848 31592 35541 36234 38772 43798 47388 48312 65697 71082 72468 77544 87596 94776 106623 131394 142164 144936 175192 197091 213246 240889 262788 284328 394182 426492 481778 525576 591273 722667 788364 852984 963556 1182546 1445334 1576728 1927112 2168001 2365092 2890668 4336002 4730184 5781336 6504003 8672004 13008006 17344008 26016012 52032024