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52761324 = 223711229179
BaseRepresentation
bin1100100101000…
…1001011101100
310200021112221010
43021101023230
5102001330244
65122505220
71210315050
oct311211354
9120245833
1052761324
1127867400
1215805210
13ac14225
147015c60
154972eb9
hex32512ec

52761324 has 144 divisors (see below), whose sum is σ = 160876800. Its totient is φ = 13157760.

The previous prime is 52761323. The next prime is 52761343. The reversal of 52761324 is 42316725.

It is a junction number, because it is equal to n+sod(n) for n = 52761291 and 52761300.

It is not an unprimeable number, because it can be changed into a prime (52761323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 294667 + ... + 294845.

It is an arithmetic number, because the mean of its divisors is an integer number (1117200).

Almost surely, 252761324 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 52761324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80438400).

52761324 is an abundant number, since it is smaller than the sum of its proper divisors (108115476).

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

52761324 is a wasteful number, since it uses less digits than its factorization.

52761324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 231 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 52761324 is about 7263.6990576427. The cubic root of 52761324 is about 375.0638682328.

The spelling of 52761324 in words is "fifty-two million, seven hundred sixty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 29 33 42 44 58 66 77 84 87 116 121 132 154 174 179 203 231 242 308 319 348 358 363 406 462 484 537 609 638 716 726 812 847 924 957 1074 1218 1253 1276 1452 1694 1914 1969 2148 2233 2436 2506 2541 3388 3509 3759 3828 3938 4466 5012 5082 5191 5907 6699 7018 7518 7876 8932 10164 10382 10527 11814 13398 13783 14036 15036 15573 20764 21054 21659 23628 24563 26796 27566 31146 36337 41349 42108 43318 49126 55132 57101 62292 64977 72674 73689 82698 86636 98252 109011 114202 129954 145348 147378 151613 165396 171303 218022 228404 259908 294756 303226 342606 399707 436044 454839 606452 628111 685212 799414 909678 1199121 1256222 1598828 1819356 1884333 2398242 2512444 3768666 4396777 4796484 7537332 8793554 13190331 17587108 26380662 52761324