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505428 = 223711547
BaseRepresentation
bin1111011011001010100
3221200022120
41323121110
5112133203
614455540
74203360
oct1733124
9850276
10505428
11315810
122045b0
13149091
14d22a0
159eb53
hex7b654

505428 has 48 divisors (see below), whose sum is σ = 1473024. Its totient is φ = 131040.

The previous prime is 505411. The next prime is 505429. The reversal of 505428 is 824505.

It is a junction number, because it is equal to n+sod(n) for n = 505398 and 505407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 651 + ... + 1197.

It is an arithmetic number, because the mean of its divisors is an integer number (30688).

2505428 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 505428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736512).

505428 is an abundant number, since it is smaller than the sum of its proper divisors (967596).

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

505428 is a wasteful number, since it uses less digits than its factorization.

505428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 505428 is about 710.9345961479. The cubic root of 505428 is about 79.6562332545.

The spelling of 505428 in words is "five hundred five thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 547 924 1094 1641 2188 3282 3829 6017 6564 7658 11487 12034 15316 18051 22974 24068 36102 42119 45948 72204 84238 126357 168476 252714 505428