Search a number
-
+
56008493352 = 233271731210869
BaseRepresentation
bin110100001010010111…
…011100100100101000
312100120022212020222200
4310022113130210220
51404201133241402
641421400220200
74021641224040
oct641227344450
9170508766880
1056008493352
1121831375039
12aa3116a660
135387820636
1429d4710720
1516cc10921c
hexd0a5dc928

56008493352 has 192 divisors, whose sum is σ = 189479347200. Its totient is φ = 14575196160.

The previous prime is 56008493347. The next prime is 56008493357. The reversal of 56008493352 is 25339480065.

56008493352 is a `hidden beast` number, since 5 + 600 + 8 + 4 + 9 + 3 + 35 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (56008493347) and next prime (56008493357).

It is a super-2 number, since 2×560084933522 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 56008493298 and 56008493307.

It is not an unprimeable number, because it can be changed into a prime (56008493357) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160174 + ... + 371042.

It is an arithmetic number, because the mean of its divisors is an integer number (986871600).

Almost surely, 256008493352 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 56008493352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94739673600).

56008493352 is an abundant number, since it is smaller than the sum of its proper divisors (133470853848).

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

56008493352 is a wasteful number, since it uses less digits than its factorization.

56008493352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210936 (or 210929 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 56008493352 in words is "fifty-six billion, eight million, four hundred ninety-three thousand, three hundred fifty-two".