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506861152 = 2578092797
BaseRepresentation
bin11110001101100…
…001011001100000
31022022202012210021
4132031201121200
52014224024102
6122143443224
715363151210
oct3615413140
91268665707
10506861152
11240123316
121218b6514
1381018055
144b460240
152e771137
hex1e361660

506861152 has 48 divisors (see below), whose sum is σ = 1142255520. Its totient is φ = 216880128.

The previous prime is 506861123. The next prime is 506861177. The reversal of 506861152 is 251168605.

It is a happy number.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 179818 + ... + 182614.

It is an arithmetic number, because the mean of its divisors is an integer number (23796990).

Almost surely, 2506861152 is an apocalyptic number.

It is an amenable number.

506861152 is an abundant number, since it is smaller than the sum of its proper divisors (635394368).

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

506861152 is a wasteful number, since it uses less digits than its factorization.

506861152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3623 (or 3615 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The square root of 506861152 is about 22513.5770591881. The cubic root of 506861152 is about 797.3145119462.

The spelling of 506861152 in words is "five hundred six million, eight hundred sixty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 809 1618 2797 3236 5594 5663 6472 11188 11326 12944 19579 22376 22652 25888 39158 44752 45304 78316 89504 90608 156632 181216 313264 626528 2262773 4525546 9051092 15839411 18102184 31678822 36204368 63357644 72408736 126715288 253430576 506861152