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56510034 = 23722361137
BaseRepresentation
bin1101011110010…
…0011001010010
310221100000012020
43113210121102
5103431310114
65335112310
71254220200
oct327443122
9127300166
1056510034
1129997909
1216b12696
13b9275b9
147710070
154e63aa9
hex35e4652

56510034 has 96 divisors (see below), whose sum is σ = 140455296. Its totient is φ = 15079680.

The previous prime is 56510029. The next prime is 56510053. The reversal of 56510034 is 43001565.

56510034 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 = 56509986 and 56510013.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 412414 + ... + 412550.

It is an arithmetic number, because the mean of its divisors is an integer number (1463076).

Almost surely, 256510034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56510034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70227648).

56510034 is an abundant number, since it is smaller than the sum of its proper divisors (83945262).

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

56510034 is a wasteful number, since it uses less digits than its factorization.

56510034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 56510034 is about 7517.3156113070. The cubic root of 56510034 is about 383.7442280040.

Adding to 56510034 its reverse (43001565), we get a palindrome (99511599).

The spelling of 56510034 in words is "fifty-six million, five hundred ten thousand, thirty-four".

Divisors: 1 2 3 6 7 14 21 23 42 46 49 61 69 98 122 137 138 147 161 183 274 294 322 366 411 427 483 822 854 959 966 1127 1281 1403 1918 2254 2562 2806 2877 2989 3151 3381 4209 5754 5978 6302 6713 6762 8357 8418 8967 9453 9821 13426 16714 17934 18906 19642 20139 22057 25071 29463 40278 44114 50142 58499 58926 66171 68747 116998 132342 137494 154399 175497 192211 206241 308798 350994 384422 409493 412482 463197 576633 818986 926394 1153266 1228479 1345477 2456958 2690954 4036431 8072862 9418339 18836678 28255017 56510034