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65045754 = 2384957
BaseRepresentation
bin1111100000100…
…0010011111010
311112101200000000
43320020103322
5113122431004
610242053430
71416610524
oct370102372
9145350000
1065045754
1133797924
121994a276
1310625817
1488d2a14
155a9cc39
hex3e084fa

65045754 has 36 divisors (see below), whose sum is σ = 146375034. Its totient is φ = 21677544.

The previous prime is 65045749. The next prime is 65045767. The reversal of 65045754 is 45754056.

It is a happy number.

65045754 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., 45198729 + 19847025 = 6723^2 + 4455^2 .

It is a super-2 number, since 2×650457542 = 8461900226857032, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 10644 + ... + 15600.

Almost surely, 265045754 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65045754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73187517).

65045754 is an abundant number, since it is smaller than the sum of its proper divisors (81329280).

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

65045754 is an frugal number, since it uses more digits than its factorization.

65045754 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4983 (or 4962 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 65045754 is about 8065.0947917554. The cubic root of 65045754 is about 402.1668943915.

The spelling of 65045754 in words is "sixty-five million, forty-five thousand, seven hundred fifty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 2187 4374 4957 6561 9914 13122 14871 29742 44613 89226 133839 267678 401517 803034 1204551 2409102 3613653 7227306 10840959 21681918 32522877 65045754