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1325284500 = 223533723879
BaseRepresentation
bin100111011111110…
…0011110010010100
310102100202102120010
41032333203302110
510203233101000
6335301240220
744561506131
oct11677436224
93370672503
101325284500
116200a7951
1230ba03070
1318174b817
14c8023588
157b536d50
hex4efe3c94

1325284500 has 96 divisors (see below), whose sum is σ = 3963697920. Its totient is φ = 343843200.

The previous prime is 1325284483. The next prime is 1325284507. The reversal of 1325284500 is 54825231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1325284507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43561 + ... + 67439.

It is an arithmetic number, because the mean of its divisors is an integer number (41288520).

Almost surely, 21325284500 is an apocalyptic number.

1325284500 is a gapful number since it is divisible by the number (10) 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 1325284500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981848960).

1325284500 is an abundant number, since it is smaller than the sum of its proper divisors (2638413420).

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

1325284500 is a wasteful number, since it uses less digits than its factorization.

1325284500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23938 (or 23926 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 1325284500 is about 36404.4571446959. The cubic root of 1325284500 is about 1098.4232229683.

The spelling of 1325284500 in words is "one billion, three hundred twenty-five million, two hundred eighty-four thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 125 148 150 185 222 250 300 370 375 444 500 555 740 750 925 1110 1500 1850 2220 2775 3700 4625 5550 9250 11100 13875 18500 23879 27750 47758 55500 71637 95516 119395 143274 238790 286548 358185 477580 596975 716370 883523 1193950 1432740 1767046 1790925 2387900 2650569 2984875 3534092 3581850 4417615 5301138 5969750 7163700 8835230 8954625 10602276 11939500 13252845 17670460 17909250 22088075 26505690 35818500 44176150 53011380 66264225 88352300 110440375 132528450 220880750 265056900 331321125 441761500 662642250 1325284500