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45132948 = 22327179099
BaseRepresentation
bin1010110000101…
…0110010010100
310010220222202200
42230022302110
543023223243
64251204500
71055423640
oct254126224
9103828680
1045132948
1123527063
1213146730
139472cb3
145dcbc20
153e67ad3
hex2b0ac94

45132948 has 36 divisors (see below), whose sum is σ = 130384800. Its totient is φ = 12895056.

The previous prime is 45132911. The next prime is 45132949. The reversal of 45132948 is 84923154.

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 (45132949) 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 11 ways as a sum of consecutive naturals, for example, 89298 + ... + 89801.

It is an arithmetic number, because the mean of its divisors is an integer number (3621800).

Almost surely, 245132948 is an apocalyptic number.

It is an amenable number.

45132948 is an abundant number, since it is smaller than the sum of its proper divisors (85251852).

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

45132948 is a wasteful number, since it uses less digits than its factorization.

45132948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179116 (or 179111 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 45132948 is about 6718.1059830878. The cubic root of 45132948 is about 356.0392689082.

The spelling of 45132948 in words is "forty-five million, one hundred thirty-two thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 179099 358198 537297 716396 1074594 1253693 1611891 2149188 2507386 3223782 3761079 5014772 6447564 7522158 11283237 15044316 22566474 45132948