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506525334 = 23761211937
BaseRepresentation
bin11110001100001…
…111011010010110
31022022010011010120
4132030033122112
52014132302314
6122132332410
715360252150
oct3614173226
91268104116
10506525334
1123aa13a87
12121774106
1380c2b243
144b3b3ad0
152e7068a9
hex1e30f696

506525334 has 64 divisors (see below), whose sum is σ = 1183590912. Its totient is φ = 141523200.

The previous prime is 506525323. The next prime is 506525359. The reversal of 506525334 is 433525605.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 506525295 and 506525304.

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, 540114 + ... + 541050.

It is an arithmetic number, because the mean of its divisors is an integer number (18493608).

Almost surely, 2506525334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506525334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591795456).

506525334 is an abundant number, since it is smaller than the sum of its proper divisors (677065578).

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

506525334 is a wasteful number, since it uses less digits than its factorization.

506525334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221.

The product of its (nonzero) digits is 54000, while the sum is 33.

The square root of 506525334 is about 22506.1177016384. The cubic root of 506525334 is about 797.1383876315.

The spelling of 506525334 in words is "five hundred six million, five hundred twenty-five thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 61 122 183 211 366 422 427 633 854 937 1266 1281 1477 1874 2562 2811 2954 4431 5622 6559 8862 12871 13118 19677 25742 38613 39354 57157 77226 90097 114314 171471 180194 197707 270291 342942 395414 400099 540582 593121 800198 1186242 1200297 1383949 2400594 2767898 4151847 8303694 12060127 24120254 36180381 72360762 84420889 168841778 253262667 506525334