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1418327872 = 261331127433
BaseRepresentation
bin101010010001001…
…1111011101000000
310122211211112001221
41110202133131000
510401042442442
6352423404424
750101405453
oct12442373500
93584745057
101418327872
116686777a5
12336bb3714
13197ac7a80
14d652349a
15847b5467
hex5489f740

1418327872 has 112 divisors (see below), whose sum is σ = 3160686592. Its totient is φ = 627056640.

The previous prime is 1418327861. The next prime is 1418327881. The reversal of 1418327872 is 2787238141.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3275368 + ... + 3275800.

It is an arithmetic number, because the mean of its divisors is an integer number (28220416).

Almost surely, 21418327872 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 1418327872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580343296).

1418327872 is an abundant number, since it is smaller than the sum of its proper divisors (1742358720).

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

1418327872 is a wasteful number, since it uses less digits than its factorization.

1418327872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 606 counting only the distinct ones).

The product of its digits is 150528, while the sum is 43.

The square root of 1418327872 is about 37660.6939925435. The cubic root of 1418327872 is about 1123.5495043324.

The spelling of 1418327872 in words is "one billion, four hundred eighteen million, three hundred twenty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 127 208 248 254 403 416 433 496 508 806 832 866 992 1016 1612 1651 1732 1984 2032 3224 3302 3464 3937 4064 5629 6448 6604 6928 7874 8128 11258 12896 13208 13423 13856 15748 22516 25792 26416 26846 27712 31496 45032 51181 52832 53692 54991 62992 90064 102362 105664 107384 109982 125984 174499 180128 204724 214768 219964 251968 348998 360256 409448 429536 439928 697996 714883 818896 859072 879856 1395992 1429766 1637792 1704721 1759712 2791984 2859532 3275584 3409442 3519424 5583968 5719064 6818884 11167936 11438128 13637768 22161373 22876256 27275536 44322746 45752512 54551072 88645492 109102144 177290984 354581968 709163936 1418327872