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65541056 = 267146297
BaseRepresentation
bin1111101000000…
…1001111000000
311120022211102112
43322001033000
5113234303211
610300434452
71424042540
oct372011700
9146284375
1065541056
1133aa5a69
1219b48a28
131076a0b9
1489c1320
155b4988b
hex3e813c0

65541056 has 28 divisors (see below), whose sum is σ = 148638768. Its totient is φ = 28088832.

The previous prime is 65541011. The next prime is 65541059. The reversal of 65541056 is 65014556.

It is a tau number, because it is divible by the number of its divisors (28).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65541059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 72701 + ... + 73596.

Almost surely, 265541056 is an apocalyptic number.

It is an amenable number.

65541056 is an abundant number, since it is smaller than the sum of its proper divisors (83097712).

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

65541056 is a wasteful number, since it uses less digits than its factorization.

65541056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146316 (or 146306 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The square root of 65541056 is about 8095.7430789273. The cubic root of 65541056 is about 403.1851038000.

The spelling of 65541056 in words is "sixty-five million, five hundred forty-one thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 146297 292594 585188 1024079 1170376 2048158 2340752 4096316 4681504 8192632 9363008 16385264 32770528 65541056