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63578052 = 22321766057
BaseRepresentation
bin1111001010000…
…1111111000100
311102122002200200
43302201333010
5112233444202
610150410500
71401255516
oct362417704
9142562620
1063578052
113298514a
1219360a30
1310230765
14862dbb6
1558ace1c
hex3ca1fc4

63578052 has 18 divisors (see below), whose sum is σ = 160711278. Its totient is φ = 21192672.

The previous prime is 63578033. The next prime is 63578071. The reversal of 63578052 is 25087536.

It is an interprime number because it is at equal distance from previous prime (63578033) and next prime (63578071).

It can be written as a sum of positive squares in only one way, i.e., 45481536 + 18096516 = 6744^2 + 4254^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×635780522 = 8084337392229408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1766057 = 63578052 / (6 + 3 + 5 + 7 + 8 + 0 + 5 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 63577998 and 63578016.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 882993 + ... + 883064.

Almost surely, 263578052 is an apocalyptic number.

It is an amenable number.

63578052 is an abundant number, since it is smaller than the sum of its proper divisors (97133226).

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

63578052 is a wasteful number, since it uses less digits than its factorization.

63578052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1766067 (or 1766062 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 63578052 is about 7973.5846392949. The cubic root of 63578052 is about 399.1190027006.

It can be divided in two parts, 635 and 78052, that added together give a palindrome (78687).

The spelling of 63578052 in words is "sixty-three million, five hundred seventy-eight thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1766057 3532114 5298171 7064228 10596342 15894513 21192684 31789026 63578052