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52540434 = 23319411249
BaseRepresentation
bin1100100001101…
…1010000010010
310122212022221000
43020123100102
5101422243214
65114042430
71205405052
oct310332022
9118768830
1052540434
1127726451
1215719416
13ab6781b
146d99562
15492c809
hex321b412

52540434 has 64 divisors (see below), whose sum is σ = 126000000. Its totient is φ = 16174080.

The previous prime is 52540429. The next prime is 52540457. The reversal of 52540434 is 43404525.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 52540398 and 52540407.

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, 41442 + ... + 42690.

It is an arithmetic number, because the mean of its divisors is an integer number (1968750).

Almost surely, 252540434 is an apocalyptic number.

52540434 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 52540434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63000000).

52540434 is an abundant number, since it is smaller than the sum of its proper divisors (73459566).

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

52540434 is a wasteful number, since it uses less digits than its factorization.

52540434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 52540434 is about 7248.4780471489. The cubic root of 52540434 is about 374.5397232854.

Adding to 52540434 its reverse (43404525), we get a palindrome (95944959).

The spelling of 52540434 in words is "fifty-two million, five hundred forty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 27 38 41 54 57 82 114 123 171 246 342 369 513 738 779 1026 1107 1249 1558 2214 2337 2498 3747 4674 7011 7494 11241 14022 21033 22482 23731 33723 42066 47462 51209 67446 71193 102418 142386 153627 213579 307254 427158 460881 640737 921762 972971 1281474 1382643 1945942 2765286 2918913 5837826 8756739 17513478 26270217 52540434