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45347616 = 2532157457
BaseRepresentation
bin1010110011111…
…1001100100000
310011022220020100
42230333030200
543102110431
64255542400
71060306536
oct254771440
9104286210
1045347616
1123663376
121322aa00
139519912
146046156
153eab4e6
hex2b3f320

45347616 has 36 divisors (see below), whose sum is σ = 128958102. Its totient is φ = 15115776.

The previous prime is 45347611. The next prime is 45347641. The reversal of 45347616 is 61674354.

It is a happy number.

45347616 is a `hidden beast` number, since 4 + 5 + 34 + 7 + 616 = 666.

45347616 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., 44355600 + 992016 = 6660^2 + 996^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45347611) 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, 78441 + ... + 79016.

Almost surely, 245347616 is an apocalyptic number.

It is an amenable number.

45347616 is an abundant number, since it is smaller than the sum of its proper divisors (83610486).

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

45347616 is a wasteful number, since it uses less digits than its factorization.

45347616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157473 (or 157462 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 45347616 is about 6734.0638547611. The cubic root of 45347616 is about 356.6028585109.

The spelling of 45347616 in words is "forty-five million, three hundred forty-seven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 157457 314914 472371 629828 944742 1259656 1417113 1889484 2519312 2834226 3778968 5038624 5668452 7557936 11336904 15115872 22673808 45347616