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506554056 = 23327035473
BaseRepresentation
bin11110001100010…
…110011011001000
31022022011121112100
4132030112123020
52014134212211
6122133113400
715360431661
oct3614263310
91268147470
10506554056
1123aa33618
12121788860
1380c3b338
144b3c0368
152e710156
hex1e3166c8

506554056 has 24 divisors (see below), whose sum is σ = 1371917430. Its totient is φ = 168851328.

The previous prime is 506554051. The next prime is 506554099. The reversal of 506554056 is 650455605.

It is a happy number.

506554056 is a `hidden beast` number, since 5 + 0 + 65 + 540 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 388484100 + 118069956 = 19710^2 + 10866^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×5065540562 = 513194023300102272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 506554056.

It is not an unprimeable number, because it can be changed into a prime (506554051) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3517665 + ... + 3517808.

Almost surely, 2506554056 is an apocalyptic number.

It is an amenable number.

506554056 is an abundant number, since it is smaller than the sum of its proper divisors (865363374).

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

506554056 is a wasteful number, since it uses less digits than its factorization.

506554056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7035485 (or 7035478 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The square root of 506554056 is about 22506.7557857635. The cubic root of 506554056 is about 797.1534543185.

The spelling of 506554056 in words is "five hundred six million, five hundred fifty-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 7035473 14070946 21106419 28141892 42212838 56283784 63319257 84425676 126638514 168851352 253277028 506554056