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1005423435 = 3551748677
BaseRepresentation
bin111011111011011…
…000101101001011
32121001212210200000
4323323120231023
54024342022220
6243433414043
733625646442
oct7373305513
92531783600
101005423435
11476598565
1224086a323
131303b8913
149775dd59
155d403390
hex3bed8b4b

1005423435 has 48 divisors (see below), whose sum is σ = 1913629536. Its totient is φ = 504672768.

The previous prime is 1005423407. The next prime is 1005423451. The reversal of 1005423435 is 5343245001.

It is a de Polignac number, because none of the positive numbers 2k-1005423435 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 1005423399 and 1005423408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3684 + ... + 44993.

It is an arithmetic number, because the mean of its divisors is an integer number (39867282).

Almost surely, 21005423435 is an apocalyptic number.

1005423435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1005423435 is a deficient number, since it is larger than the sum of its proper divisors (908206101).

1005423435 is an equidigital number, since it uses as much as digits as its factorization.

1005423435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48714 (or 48702 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 1005423435 is about 31708.4126849642. The cubic root of 1005423435 is about 1001.8045532953.

Adding to 1005423435 its reverse (5343245001), we get a palindrome (6348668436).

It can be divided in two parts, 10054 and 23435, that added together give a square (33489 = 1832).

The spelling of 1005423435 in words is "one billion, five million, four hundred twenty-three thousand, four hundred thirty-five".

Divisors: 1 3 5 9 15 17 27 45 51 81 85 135 153 243 255 405 459 765 1215 1377 2295 4131 6885 20655 48677 146031 243385 438093 730155 827509 1314279 2190465 2482527 3942837 4137545 6571395 7447581 11828511 12412635 19714185 22342743 37237905 59142555 67028229 111713715 201084687 335141145 1005423435