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1389425625 = 325472712
BaseRepresentation
bin101001011010000…
…1111001111011001
310120211110010122100
41102310033033121
510321143110000
6345512114013
746300631400
oct12264171731
93524403570
101389425625
11653327045
12329395909
13191b18653
14d275c637
1581ea6a00
hex52d0f3d9

1389425625 has 135 divisors (see below), whose sum is σ = 2959000473. Its totient is φ = 626220000.

The previous prime is 1389425617. The next prime is 1389425627. The reversal of 1389425625 is 5265249831.

The square root of 1389425625 is 37275.

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

1389425625 is a `hidden beast` number, since 1 + 3 + 89 + 4 + 2 + 562 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 108930969 + 1280494656 = 10437^2 + 35784^2 .

It is not a de Polignac number, because 1389425625 - 23 = 1389425617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1389425627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 19569340 + ... + 19569410.

Almost surely, 21389425625 is an apocalyptic number.

1389425625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1389425625 is the 37275-th square number.

1389425625 is the 18638-th centered octagonal number.

It is an amenable number.

1389425625 is an abundant number, since it is smaller than the sum of its proper divisors (1569574848).

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

1389425625 is an frugal number, since it uses more digits than its factorization.

1389425625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 86 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The cubic root of 1389425625 is about 1115.8652884956.

Multiplying 1389425625 by its product of digits (518400), we get a square (720278244000000 = 268380002).

The spelling of 1389425625 in words is "one billion, three hundred eighty-nine million, four hundred twenty-five thousand, six hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 71 75 105 125 147 175 213 225 245 315 355 375 441 497 525 625 639 735 875 1065 1125 1225 1491 1575 1775 1875 2205 2485 2625 3195 3479 3675 4375 4473 5041 5325 5625 6125 7455 7875 8875 10437 11025 12425 13125 15123 15975 17395 18375 22365 25205 26625 30625 31311 35287 37275 39375 44375 45369 52185 55125 62125 75615 79875 86975 91875 105861 111825 126025 133125 156555 176435 186375 226845 247009 260925 275625 310625 317583 378075 399375 434875 529305 559125 630125 741027 782775 882175 931875 1134225 1235045 1304625 1587915 1890375 2174375 2223081 2646525 2795625 3150625 3705135 3913875 4410875 5671125 6175225 6523125 7939575 9451875 11115405 13232625 18525675 19569375 22054375 28355625 30876125 39697875 55577025 66163125 92628375 154380625 198489375 277885125 463141875 1389425625