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505070524 = 227232812791
BaseRepresentation
bin11110000110101…
…100001110111100
31022012101020111201
4132012230032330
52013244224044
6122041225244
715342012550
oct3606541674
91265336451
10505070524
1123a10aa62
12121192224
138083bcca
144b115860
152e51a7d4
hex1e1ac3bc

505070524 has 48 divisors (see below), whose sum is σ = 1058190336. Its totient is φ = 206236800.

The previous prime is 505070509. The next prime is 505070537. The reversal of 505070524 is 425070505.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 505070492 and 505070501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179569 + ... + 182359.

It is an arithmetic number, because the mean of its divisors is an integer number (22045632).

Almost surely, 2505070524 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 505070524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529095168).

505070524 is an abundant number, since it is smaller than the sum of its proper divisors (553119812).

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

505070524 is a wasteful number, since it uses less digits than its factorization.

505070524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3106 (or 3104 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 28.

The square root of 505070524 is about 22473.7741378701. The cubic root of 505070524 is about 796.3744923548.

The spelling of 505070524 in words is "five hundred five million, seventy thousand, five hundred twenty-four".

Divisors: 1 2 4 7 14 23 28 46 92 161 281 322 562 644 1124 1967 2791 3934 5582 6463 7868 11164 12926 19537 25852 39074 45241 64193 78148 90482 128386 180964 256772 449351 784271 898702 1568542 1797404 3137084 5489897 10979794 18038233 21959588 36076466 72152932 126267631 252535262 505070524