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45790208 = 21097461
BaseRepresentation
bin1010111010101…
…1010000000000
310012011101100122
42232223100000
543210241313
64313235412
71064132102
oct256532000
9105141318
1045790208
1123935952
1213402b68
1396431c9
14611d572
154047708
hex2bab400

45790208 has 44 divisors (see below), whose sum is σ = 92679972. Its totient is φ = 22609920.

The previous prime is 45790207. The next prime is 45790211. The reversal of 45790208 is 80209754.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 17572864 + 28217344 = 4192^2 + 5312^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45790207) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 99098 + ... + 99558.

It is an arithmetic number, because the mean of its divisors is an integer number (2106363).

Almost surely, 245790208 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 45790208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46339986).

45790208 is an abundant number, since it is smaller than the sum of its proper divisors (46889764).

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

45790208 is an equidigital number, since it uses as much as digits as its factorization.

45790208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 45790208 is about 6766.8462373546. The cubic root of 45790208 is about 357.7592505555.

The spelling of 45790208 in words is "forty-five million, seven hundred ninety thousand, two hundred eight".

Divisors: 1 2 4 8 16 32 64 97 128 194 256 388 461 512 776 922 1024 1552 1844 3104 3688 6208 7376 12416 14752 24832 29504 44717 49664 59008 89434 99328 118016 178868 236032 357736 472064 715472 1430944 2861888 5723776 11447552 22895104 45790208