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523245216 = 253132318229
BaseRepresentation
bin11111001100000…
…001011010100000
31100110120121111110
4133030001122200
52032422321331
6123530543320
715652340154
oct3714013240
91313517443
10523245216
112493a396a
12127297b40
1384533670
144d6c7064
1530e0a946
hex1f3016a0

523245216 has 96 divisors (see below), whose sum is σ = 1543570560. Its totient is φ = 153990144.

The previous prime is 523245181. The next prime is 523245259. The reversal of 523245216 is 612542325.

It is a tau number, because it is divible by the number of its divisors (96).

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, 19590 + ... + 37818.

It is an arithmetic number, because the mean of its divisors is an integer number (16078860).

Almost surely, 2523245216 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 523245216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771785280).

523245216 is an abundant number, since it is smaller than the sum of its proper divisors (1020325344).

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

523245216 is a wasteful number, since it uses less digits than its factorization.

523245216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18278 (or 18270 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 523245216 is about 22874.5538972895. The cubic root of 523245216 is about 805.8145201418.

The spelling of 523245216 in words is "five hundred twenty-three million, two hundred forty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 48 52 69 78 92 96 104 138 156 184 208 276 299 312 368 416 552 598 624 736 897 1104 1196 1248 1794 2208 2392 3588 4784 7176 9568 14352 18229 28704 36458 54687 72916 109374 145832 218748 236977 291664 419267 437496 473954 583328 710931 838534 874992 947908 1257801 1421862 1677068 1749984 1895816 2515602 2843724 3354136 3791632 5031204 5450471 5687448 6708272 7583264 10062408 10900942 11374896 13416544 16351413 20124816 21801884 22749792 32702826 40249632 43603768 65405652 87207536 130811304 174415072 261622608 523245216