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45997000 = 235376571
BaseRepresentation
bin1010111101110…
…1101111001000
310012112220000121
42233131233020
543233401000
64321513024
71065653020
oct257355710
9105486017
1045997000
1123a67255
12134a2774
1396b637a
146174a80
154088b1a
hex2bddbc8

45997000 has 64 divisors (see below), whose sum is σ = 123027840. Its totient is φ = 15768000.

The previous prime is 45996997. The next prime is 45997009. The reversal of 45997000 is 79954.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45997009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3715 + ... + 10285.

It is an arithmetic number, because the mean of its divisors is an integer number (1922310).

Almost surely, 245997000 is an apocalyptic number.

45997000 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 45997000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61513920).

45997000 is an abundant number, since it is smaller than the sum of its proper divisors (77030840).

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

45997000 is a wasteful number, since it uses less digits than its factorization.

45997000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6599 (or 6585 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 34.

The square root of 45997000 is about 6782.1088165850. The cubic root of 45997000 is about 358.2969976978.

The spelling of 45997000 in words is "forty-five million, nine hundred ninety-seven thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 6571 7000 13142 26284 32855 45997 52568 65710 91994 131420 164275 183988 229985 262840 328550 367976 459970 657100 821375 919940 1149925 1314200 1642750 1839880 2299850 3285500 4599700 5749625 6571000 9199400 11499250 22998500 45997000