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61005456 = 2432423649
BaseRepresentation
bin1110100010110…
…1111010010000
311020210101202100
43220231322100
5111104133311
610015320400
71340352321
oct350557220
9136711670
1061005456
1131488336
1218520100
13c83c805
148160448
155550a56
hex3a2de90

61005456 has 30 divisors (see below), whose sum is σ = 170730950. Its totient is φ = 20335104.

The previous prime is 61005419. The next prime is 61005457. The reversal of 61005456 is 65450016.

It is a happy number.

61005456 is a `hidden beast` number, since 610 + 0 + 5 + 45 + 6 = 666.

61005456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 40755456 + 20250000 = 6384^2 + 4500^2 .

It is not an unprimeable number, because it can be changed into a prime (61005457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 211681 + ... + 211968.

Almost surely, 261005456 is an apocalyptic number.

It is an amenable number.

61005456 is an abundant number, since it is smaller than the sum of its proper divisors (109725494).

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

61005456 is a wasteful number, since it uses less digits than its factorization.

61005456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423663 (or 423654 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 61005456 is about 7810.5989527052. The cubic root of 61005456 is about 393.6614543148.

The spelling of 61005456 in words is "sixty-one million, five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 423649 847298 1270947 1694596 2541894 3389192 3812841 5083788 6778384 7625682 10167576 15251364 20335152 30502728 61005456