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1490886544 = 24741972
BaseRepresentation
bin101100011011101…
…0001111110010000
310211220100212212011
41120313101332100
511023131332134
6403534512304
751642220000
oct13067217620
93756325764
101490886544
116a5626144
12357365694
131a9b510b4
14102010000
158ad49264
hex58dd1f90

1490886544 has 75 divisors (see below), whose sum is σ = 3387016817. Its totient is φ = 635707968.

The previous prime is 1490886511. The next prime is 1490886557. The reversal of 1490886544 is 4456880941.

It is a happy number.

The square root of 1490886544 is 38612.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1460768400 + 30118144 = 38220^2 + 5488^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 7567854 + ... + 7568050.

Almost surely, 21490886544 is an apocalyptic number.

1490886544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1490886544 is the 38612-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1490886544

1490886544 is an abundant number, since it is smaller than the sum of its proper divisors (1896130273).

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

1490886544 is an frugal number, since it uses more digits than its factorization.

1490886544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 49.

The cubic root of 1490886544 is about 1142.3912420833.

Multiplying 1490886544 by its sum of digits (49), we get a square (73053440656 = 2702842).

1490886544 divided by its sum of digits (49) gives a square (30426256 = 55162).

The spelling of 1490886544 in words is "one billion, four hundred ninety million, eight hundred eighty-six thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 197 343 392 394 686 784 788 1372 1379 1576 2401 2744 2758 3152 4802 5488 5516 9604 9653 11032 19208 19306 22064 38416 38612 38809 67571 77224 77618 135142 154448 155236 270284 271663 310472 472997 540568 543326 620944 945994 1081136 1086652 1891988 1901641 2173304 3783976 3803282 4346608 7567952 7606564 13311487 15213128 26622974 30426256 53245948 93180409 106491896 186360818 212983792 372721636 745443272 1490886544