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1005640425 = 32529714603
BaseRepresentation
bin111011111100001…
…101101011101001
32121002021211022200
4323330031223221
54024420443200
6243442210413
733630542166
oct7374155351
92532254280
101005640425
11476726599
12240953a09
1313046360a
14977b906d
155d447800
hex3bf0dae9

1005640425 has 36 divisors (see below), whose sum is σ = 1803460464. Its totient is φ = 535672800.

The previous prime is 1005640409. The next prime is 1005640439. The reversal of 1005640425 is 5240465001.

1005640425 is a `hidden beast` number, since 10 + 0 + 5 + 640 + 4 + 2 + 5 = 666.

It is not a de Polignac number, because 1005640425 - 24 = 1005640409 is a prime.

It is a super-2 number, since 2×10056404252 = 2022625328788361250, which contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 216174 + ... + 220776.

It is an arithmetic number, because the mean of its divisors is an integer number (50096124).

Almost surely, 21005640425 is an apocalyptic number.

1005640425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1005640425 is a deficient number, since it is larger than the sum of its proper divisors (797820039).

1005640425 is a wasteful number, since it uses less digits than its factorization.

1005640425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5590 (or 5582 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1005640425 is about 31711.8341475229. The cubic root of 1005640425 is about 1001.8766177695.

The spelling of 1005640425 in words is "one billion, five million, six hundred forty thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 971 2913 4603 4855 8739 13809 14565 23015 24275 41427 43695 69045 72825 115075 207135 218475 345225 1035675 4469513 13408539 22347565 40225617 67042695 111737825 201128085 335213475 1005640425