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5490393984 = 273217280351
BaseRepresentation
bin1010001110100000…
…01100001110000000
3112011122010220122100
411013100030032000
542221020101414
62304450110400
7253025402355
oct50720141600
915148126570
105490393984
112368203299
12109287b400
1369662c54a
143a127662c
15222023609
hex14740c380

5490393984 has 96 divisors (see below), whose sum is σ = 16728603840. Its totient is φ = 1722470400.

The previous prime is 5490393977. The next prime is 5490393989. The reversal of 5490393984 is 4893930945.

5490393984 is a `hidden beast` number, since 549 + 0 + 3 + 9 + 3 + 98 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 5490393984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5490393989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120592 + ... + 159759.

It is an arithmetic number, because the mean of its divisors is an integer number (174256290).

Almost surely, 25490393984 is an apocalyptic number.

It is an amenable number.

5490393984 is an abundant number, since it is smaller than the sum of its proper divisors (11238209856).

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

5490393984 is a wasteful number, since it uses less digits than its factorization.

5490393984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280388 (or 280373 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The square root of 5490393984 is about 74097.1928213208. The cubic root of 5490393984 is about 1764.1459147813.

The spelling of 5490393984 in words is "five billion, four hundred ninety million, three hundred ninety-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 272 288 306 384 408 544 576 612 816 1088 1152 1224 1632 2176 2448 3264 4896 6528 9792 19584 280351 560702 841053 1121404 1682106 2242808 2523159 3364212 4485616 4765967 5046318 6728424 8971232 9531934 10092636 13456848 14297901 17942464 19063868 20185272 26913696 28595802 35884928 38127736 40370544 42893703 53827392 57191604 76255472 80741088 85787406 107654784 114383208 152510944 161482176 171574812 228766416 305021888 322964352 343149624 457532832 610043776 686299248 915065664 1372598496 1830131328 2745196992 5490393984