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520992144 = 243210493449
BaseRepresentation
bin11111000011011…
…011010110010000
31100022100010212100
4133003123112100
52031333222034
6123410400400
715624234351
oct3703332620
91308303770
10520992144
112480a5122
12126590100
1383c24c9a
144d29bd28
1530b13099
hex1f0db590

520992144 has 60 divisors (see below), whose sum is σ = 1459867500. Its totient is φ = 173448192.

The previous prime is 520992119. The next prime is 520992151. The reversal of 520992144 is 441299025.

520992144 is a `hidden beast` number, since 520 + 9 + 92 + 1 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 199148544 + 321843600 = 14112^2 + 17940^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 520992099 and 520992108.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 149332 + ... + 152780.

It is an arithmetic number, because the mean of its divisors is an integer number (24331125).

Almost surely, 2520992144 is an apocalyptic number.

It is an amenable number.

520992144 is an abundant number, since it is smaller than the sum of its proper divisors (938875356).

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

520992144 is a wasteful number, since it uses less digits than its factorization.

520992144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4512 (or 4503 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 520992144 is about 22825.2523315735. The cubic root of 520992144 is about 804.6562548680.

The spelling of 520992144 in words is "five hundred twenty million, nine hundred ninety-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1049 2098 3147 3449 4196 6294 6898 8392 9441 10347 12588 13796 16784 18882 20694 25176 27592 31041 37764 41388 50352 55184 62082 75528 82776 124164 151056 165552 248328 496656 3618001 7236002 10854003 14472004 21708006 28944008 32562009 43416012 57888016 65124018 86832024 130248036 173664048 260496072 520992144