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45990064 = 2423472659
BaseRepresentation
bin1010111101110…
…0000010110000
310012112112111201
42233130002300
543233140224
64321420544
71065623551
oct257340260
9105475451
1045990064
1123a6201a
121349a754
1396b3173
146172328
154086a44
hex2bdc0b0

45990064 has 40 divisors (see below), whose sum is σ = 94993920. Its totient is φ = 21519168.

The previous prime is 45990059. The next prime is 45990067. The reversal of 45990064 is 46009954.

It is not an unprimeable number, because it can be changed into a prime (45990067) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15967 + ... + 18625.

It is an arithmetic number, because the mean of its divisors is an integer number (2374848).

Almost surely, 245990064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45990064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47496960).

45990064 is an abundant number, since it is smaller than the sum of its proper divisors (49003856).

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

45990064 is a wasteful number, since it uses less digits than its factorization.

45990064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2737 (or 2731 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 45990064 is about 6781.5974519283. The cubic root of 45990064 is about 358.2789872992.

The spelling of 45990064 in words is "forty-five million, nine hundred ninety thousand, sixty-four".

Divisors: 1 2 4 8 16 23 46 47 92 94 184 188 368 376 752 1081 2162 2659 4324 5318 8648 10636 17296 21272 42544 61157 122314 124973 244628 249946 489256 499892 978512 999784 1999568 2874379 5748758 11497516 22995032 45990064