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645484000 = 2553723053
BaseRepresentation
bin100110011110010…
…100110111100000
31122222120222120211
4212132110313200
52310220442000
6144014543504
721665344360
oct4636246740
91588528524
10645484000
113013a4757
12160207b94
13a39625c5
1461a269a0
153ba047ba
hex26794de0

645484000 has 96 divisors (see below), whose sum is σ = 1812597696. Its totient is φ = 221299200.

The previous prime is 645483973. The next prime is 645484003. The reversal of 645484000 is 484546.

645484000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (645484003) 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, 16474 + ... + 39526.

It is an arithmetic number, because the mean of its divisors is an integer number (18881226).

Almost surely, 2645484000 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 645484000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906298848).

645484000 is an abundant number, since it is smaller than the sum of its proper divisors (1167113696).

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

645484000 is a wasteful number, since it uses less digits than its factorization.

645484000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23085 (or 23067 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 645484000 is about 25406.3771522033. The cubic root of 645484000 is about 864.2283204315.

The spelling of 645484000 in words is "six hundred forty-five million, four hundred eighty-four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 700 800 875 1000 1120 1400 1750 2000 2800 3500 4000 5600 7000 14000 23053 28000 46106 92212 115265 161371 184424 230530 322742 368848 461060 576325 645484 737696 806855 922120 1152650 1290968 1613710 1844240 2305300 2581936 2881625 3227420 3688480 4034275 4610600 5163872 5763250 6454840 8068550 9221200 11526500 12909680 16137100 18442400 20171375 23053000 25819360 32274200 40342750 46106000 64548400 80685500 92212000 129096800 161371000 322742000 645484000