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45197760 = 263523289
BaseRepresentation
bin1010110001101…
…0100111000000
310011001021200010
42230122213000
543032312020
64252424520
71056113616
oct254324700
9104037603
1045197760
1123570823
1213178140
13949664a
1460076b6
153e7bde0
hex2b1a9c0

45197760 has 168 divisors, whose sum is σ = 151698960. Its totient is φ = 11399168.

The previous prime is 45197759. The next prime is 45197771. The reversal of 45197760 is 6779154.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 507796 + ... + 507884.

It is an arithmetic number, because the mean of its divisors is an integer number (902970).

Almost surely, 245197760 is an apocalyptic number.

45197760 is a gapful number since it is divisible by the number (40) 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 45197760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75849480).

45197760 is an abundant number, since it is smaller than the sum of its proper divisors (106501200).

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

45197760 is a wasteful number, since it uses less digits than its factorization.

45197760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The square root of 45197760 is about 6722.9279335718. The cubic root of 45197760 is about 356.2096143816.

The spelling of 45197760 in words is "forty-five million, one hundred ninety-seven thousand, seven hundred sixty".