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1490744864 = 257193111299
BaseRepresentation
bin101100011011010…
…1111011000100000
310211220002200111202
41120312233120200
511023112313424
6403531500332
751641056640
oct13066573040
93756080452
101490744864
116a5539754
123572b76a8
131a9b0176b
14101db4520
158ad1c2ae
hex58daf620

1490744864 has 96 divisors (see below), whose sum is σ = 3644928000. Its totient is φ = 585688320.

The previous prime is 1490744821. The next prime is 1490744867. The reversal of 1490744864 is 4684470941.

It is not an unprimeable number, because it can be changed into a prime (1490744867) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126287 + ... + 137585.

It is an arithmetic number, because the mean of its divisors is an integer number (37968000).

Almost surely, 21490744864 is an apocalyptic number.

1490744864 is a gapful number since it is divisible by the number (14) 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 1490744864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1822464000).

1490744864 is an abundant number, since it is smaller than the sum of its proper divisors (2154183136).

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

1490744864 is a wasteful number, since it uses less digits than its factorization.

1490744864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11366 (or 11358 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 47.

The square root of 1490744864 is about 38610.1652936115. The cubic root of 1490744864 is about 1142.3550535217.

The spelling of 1490744864 in words is "one billion, four hundred ninety million, seven hundred forty-four thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 19 28 31 32 38 56 62 76 112 124 133 152 217 224 248 266 304 434 496 532 589 608 868 992 1064 1178 1736 2128 2356 3472 4123 4256 4712 6944 8246 9424 11299 16492 18848 22598 32984 45196 65968 79093 90392 131936 158186 180784 214681 316372 350269 361568 429362 632744 700538 858724 1265488 1401076 1502767 1717448 2451883 2530976 2802152 3005534 3434896 4903766 5604304 6011068 6655111 6869792 9807532 11208608 12022136 13310222 19615064 24044272 26620444 39230128 46585777 48088544 53240888 78460256 93171554 106481776 186343108 212963552 372686216 745372432 1490744864