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506720576 = 26191313181
BaseRepresentation
bin11110001100111…
…111000101000000
31022022111001221202
4132030333011000
52014210024301
6122140440332
715362024315
oct3614770500
91268431852
10506720576
1124003773a
121218490a8
1380c9907b
144b424d0c
152e74466b
hex1e33f140

506720576 has 56 divisors (see below), whose sum is σ = 1066860960. Its totient is φ = 238118400.

The previous prime is 506720573. The next prime is 506720609. The reversal of 506720576 is 675027605.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506720573) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157706 + ... + 160886.

Almost surely, 2506720576 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 506720576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533430480).

506720576 is an abundant number, since it is smaller than the sum of its proper divisors (560140384).

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

506720576 is a wasteful number, since it uses less digits than its factorization.

506720576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3343 (or 3333 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 38.

The square root of 506720576 is about 22510.4548154852. The cubic root of 506720576 is about 797.2407944216.

The spelling of 506720576 in words is "five hundred six million, seven hundred twenty thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 131 152 262 304 524 608 1048 1216 2096 2489 3181 4192 4978 6362 8384 9956 12724 19912 25448 39824 50896 60439 79648 101792 120878 159296 203584 241756 416711 483512 833422 967024 1666844 1934048 3333688 3868096 6667376 7917509 13334752 15835018 26669504 31670036 63340072 126680144 253360288 506720576