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45785088 = 2133523
BaseRepresentation
bin1010111010101…
…0000000000000
310012011010100000
42232222000000
543210110323
64313200000
71064111136
oct256520000
9105133300
1045785088
1123932018
1213400000
139640a8b
14611b756
154045e43
hex2baa000

45785088 has 168 divisors, whose sum is σ = 143121888. Its totient is φ = 14598144.

The previous prime is 45785083. The next prime is 45785099. The reversal of 45785088 is 88058754.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45785083) 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, 1990645 + ... + 1990667.

It is an arithmetic number, because the mean of its divisors is an integer number (851916).

Almost surely, 245785088 is an apocalyptic number.

45785088 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45785088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71560944).

45785088 is an abundant number, since it is smaller than the sum of its proper divisors (97336800).

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

45785088 is an frugal number, since it uses more digits than its factorization.

45785088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 45785088 is about 6766.4679116951. The cubic root of 45785088 is about 357.7459158586.

The spelling of 45785088 in words is "forty-five million, seven hundred eighty-five thousand, eighty-eight".