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506748 = 223112349
BaseRepresentation
bin1111011101101111100
3221202010110
41323231330
5112203443
614510020
74210254
oct1735574
9852113
10506748
11316800
12205310
13149868
14d2964
15a0233
hex7bb7c

506748 has 36 divisors (see below), whose sum is σ = 1303400. Its totient is φ = 153120.

The previous prime is 506743. The next prime is 506773. The reversal of 506748 is 847605.

It is a happy number.

506748 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506743) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1278 + ... + 1626.

2506748 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 506748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651700).

506748 is an abundant number, since it is smaller than the sum of its proper divisors (796652).

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

506748 is a wasteful number, since it uses less digits than its factorization.

506748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 506748 is about 711.8623462440. The cubic root of 506748 is about 79.7255176534.

It can be divided in two parts, 5067 and 48, that added together give a palindrome (5115).

The spelling of 506748 in words is "five hundred six thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 349 363 484 698 726 1047 1396 1452 2094 3839 4188 7678 11517 15356 23034 42229 46068 84458 126687 168916 253374 506748