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1321993824 = 25331144279
BaseRepresentation
bin100111011001100…
…0000011001100000
310102010120020121020
41032303000121200
510201412300244
6335102525440
744521522254
oct11663003140
93363506536
101321993824
1161925a588
1230a896880
13180b68a88
14c7808264
157b0d6d19
hex4ecc0660

1321993824 has 48 divisors (see below), whose sum is σ = 3481470720. Its totient is φ = 439237760.

The previous prime is 1321993811. The next prime is 1321993847. The reversal of 1321993824 is 4283991231.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7717 + ... + 51995.

It is an arithmetic number, because the mean of its divisors is an integer number (72530640).

Almost surely, 21321993824 is an apocalyptic number.

It is an amenable number.

1321993824 is an abundant number, since it is smaller than the sum of its proper divisors (2159476896).

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

1321993824 is a wasteful number, since it uses less digits than its factorization.

1321993824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44603 (or 44595 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The square root of 1321993824 is about 36359.2329952104. The cubic root of 1321993824 is about 1097.5133426840.

The spelling of 1321993824 in words is "one billion, three hundred twenty-one million, nine hundred ninety-three thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 311 622 933 1244 1866 2488 3732 4976 7464 9952 14928 29856 44279 88558 132837 177116 265674 354232 531348 708464 1062696 1416928 2125392 4250784 13770769 27541538 41312307 55083076 82624614 110166152 165249228 220332304 330498456 440664608 660996912 1321993824