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1001437425 = 34522917053
BaseRepresentation
bin111011101100001…
…011100011110001
32120210101021220000
4323230023203301
54022331444200
6243212140213
733550035432
oct7354134361
92523337800
101001437425
1147431583a
1223b467669
1312c621531
1497003489
155cdb7300
hex3bb0b8f1

1001437425 has 60 divisors (see below), whose sum is σ = 1919086620. Its totient is φ = 515652480.

The previous prime is 1001437403. The next prime is 1001437429. The reversal of 1001437425 is 5247341001.

It can be written as a sum of positive squares in 6 ways, for example, as 38452401 + 962985024 = 6201^2 + 31032^2 .

It is not a de Polignac number, because 1001437425 - 217 = 1001306353 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1001437429) 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 59 ways as a sum of consecutive naturals, for example, 50199 + ... + 67251.

It is an arithmetic number, because the mean of its divisors is an integer number (31984777).

Almost surely, 21001437425 is an apocalyptic number.

1001437425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1001437425 is a deficient number, since it is larger than the sum of its proper divisors (917649195).

1001437425 is a wasteful number, since it uses less digits than its factorization.

1001437425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17104 (or 17090 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1001437425 is about 31645.4961250412. The cubic root of 1001437425 is about 1000.4789122731.

Adding to 1001437425 its reverse (5247341001), we get a palindrome (6248778426).

The spelling of 1001437425 in words is "one billion, one million, four hundred thirty-seven thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 29 45 75 81 87 135 145 225 261 405 435 675 725 783 1305 2025 2175 2349 3915 6525 11745 17053 19575 51159 58725 85265 153477 255795 426325 460431 494537 767385 1278975 1381293 1483611 2302155 2472685 3836925 4450833 6906465 7418055 11510775 12363425 13352499 22254165 34532325 37090275 40057497 66762495 111270825 200287485 333812475 1001437425