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45726984 = 2333316829
BaseRepresentation
bin1010111001101…
…1110100001000
310012001011122000
42232123310020
543201230414
64312031000
71063446552
oct256336410
9105034560
1045726984
11238a23a6
1213392460
1396204b4
1461044d2
154033b09
hex2b9bd08

45726984 has 64 divisors (see below), whose sum is σ = 131136000. Its totient is φ = 14748480.

The previous prime is 45726983. The next prime is 45727001. The reversal of 45726984 is 48962754.

It is a happy number.

45726984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (45726983) 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 15 ways as a sum of consecutive naturals, for example, 3282 + ... + 10110.

It is an arithmetic number, because the mean of its divisors is an integer number (2049000).

Almost surely, 245726984 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 45726984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65568000).

45726984 is an abundant number, since it is smaller than the sum of its proper divisors (85409016).

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

45726984 is a wasteful number, since it uses less digits than its factorization.

45726984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6875 (or 6865 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 45726984 is about 6762.1730235184. The cubic root of 45726984 is about 357.5945181809.

The spelling of 45726984 in words is "forty-five million, seven hundred twenty-six thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 248 279 372 558 744 837 1116 1674 2232 3348 6696 6829 13658 20487 27316 40974 54632 61461 81948 122922 163896 184383 211699 245844 368766 423398 491688 635097 737532 846796 1270194 1475064 1693592 1905291 2540388 3810582 5080776 5715873 7621164 11431746 15242328 22863492 45726984