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1493241984 = 27321399709
BaseRepresentation
bin101100100000001…
…0001000010000000
310212001210112220200
41121000101002000
511024232220414
6404101205200
752001230113
oct13100210200
93761715820
101493241984
116a6994893
12358100800
131aa497250
1410246457a
158b162109
hex59011080

1493241984 has 96 divisors (see below), whose sum is σ = 4627541100. Its totient is φ = 459454464.

The previous prime is 1493241979. The next prime is 1493241989. The reversal of 1493241984 is 4891423941.

It is an interprime number because it is at equal distance from previous prime (1493241979) and next prime (1493241989).

It can be written as a sum of positive squares in 2 ways, for example, as 1469035584 + 24206400 = 38328^2 + 4920^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1493241989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34879 + ... + 64830.

Almost surely, 21493241984 is an apocalyptic number.

It is an amenable number.

1493241984 is an abundant number, since it is smaller than the sum of its proper divisors (3134299116).

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

1493241984 is a wasteful number, since it uses less digits than its factorization.

1493241984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99742 (or 99727 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 1493241984 is about 38642.4893608059. The cubic root of 1493241984 is about 1142.9925438624.

The spelling of 1493241984 in words is "one billion, four hundred ninety-three million, two hundred forty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1664 1872 2496 3744 4992 7488 14976 99709 199418 299127 398836 598254 797672 897381 1196508 1296217 1595344 1794762 2393016 2592434 3190688 3589524 3888651 4786032 5184868 6381376 7179048 7777302 9572064 10369736 11665953 12762752 14358096 15554604 19144128 20739472 23331906 28716192 31109208 38288256 41478944 46663812 57432384 62218416 82957888 93327624 114864768 124436832 165915776 186655248 248873664 373310496 497747328 746620992 1493241984