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45341928 = 23321135573
BaseRepresentation
bin1010110011110…
…1110011101000
310011022121102200
42230331303220
543101420203
64255500200
71060254132
oct254756350
9104277380
1045341928
112365a075
1213227660
139517158
146044052
153ea99a3
hex2b3dce8

45341928 has 48 divisors (see below), whose sum is σ = 123910020. Its totient is φ = 14977536.

The previous prime is 45341927. The next prime is 45341969. The reversal of 45341928 is 82914354.

It can be written as a sum of positive squares in 2 ways, for example, as 30272004 + 15069924 = 5502^2 + 3882^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 45341892 and 45341901.

It is not an unprimeable number, because it can be changed into a prime (45341927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5350 + ... + 10922.

Almost surely, 245341928 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 45341928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61955010).

45341928 is an abundant number, since it is smaller than the sum of its proper divisors (78568092).

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

45341928 is a wasteful number, since it uses less digits than its factorization.

45341928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5698 (or 5691 counting only the distinct ones).

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

The square root of 45341928 is about 6733.6415110993. The cubic root of 45341928 is about 356.5879481947.

The spelling of 45341928 in words is "forty-five million, three hundred forty-one thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 113 226 339 452 678 904 1017 1356 2034 2712 4068 5573 8136 11146 16719 22292 33438 44584 50157 66876 100314 133752 200628 401256 629749 1259498 1889247 2518996 3778494 5037992 5667741 7556988 11335482 15113976 22670964 45341928