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52680936 = 23371129983
BaseRepresentation
bin1100100011110…
…1100011101000
310200010110122210
43020331203220
5101441242221
65121045120
71206531510
oct310754350
9120113583
1052680936
1127811a70
12157867a0
13abb6769
146dd4840
154959276
hex323d8e8

52680936 has 128 divisors (see below), whose sum is σ = 170035200. Its totient is φ = 13198080.

The previous prime is 52680931. The next prime is 52680949. The reversal of 52680936 is 63908625.

52680936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 52680894 and 52680903.

It is not an unprimeable number, because it can be changed into a prime (52680931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53101 + ... + 54083.

It is an arithmetic number, because the mean of its divisors is an integer number (1328400).

Almost surely, 252680936 is an apocalyptic number.

52680936 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 52680936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85017600).

52680936 is an abundant number, since it is smaller than the sum of its proper divisors (117354264).

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

52680936 is a wasteful number, since it uses less digits than its factorization.

52680936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 52680936 is about 7258.1634040575. The cubic root of 52680936 is about 374.8732869661.

The spelling of 52680936 in words is "fifty-two million, six hundred eighty thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 29 33 42 44 56 58 66 77 84 87 88 116 132 154 168 174 203 231 232 264 308 319 348 406 462 609 616 638 696 812 924 957 983 1218 1276 1624 1848 1914 1966 2233 2436 2552 2949 3828 3932 4466 4872 5898 6699 6881 7656 7864 8932 10813 11796 13398 13762 17864 20643 21626 23592 26796 27524 28507 32439 41286 43252 53592 55048 57014 64878 75691 82572 85521 86504 114028 129756 151382 165144 171042 199549 227073 228056 259512 302764 313577 342084 399098 454146 598647 605528 627154 684168 798196 908292 940731 1197294 1254308 1596392 1816584 1881462 2195039 2394588 2508616 3762924 4390078 4789176 6585117 7525848 8780156 13170234 17560312 26340468 52680936