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1007418445 = 511472111847
BaseRepresentation
bin111100000010111…
…111110001001101
32121012122011022021
4330002333301031
54030344342240
6243544250141
733651626005
oct7402776115
92535564267
101007418445
11477730430
12241470951
131309369b7
1497b1d005
155d69954a
hex3c0bfc4d

1007418445 has 32 divisors (see below), whose sum is σ = 1353977856. Its totient is φ = 713294400.

The previous prime is 1007418431. The next prime is 1007418449. The reversal of 1007418445 is 5448147001.

It is a happy number.

It is not a de Polignac number, because 1007418445 - 25 = 1007418413 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1007418445.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007418449) 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 31 ways as a sum of consecutive naturals, for example, 544512 + ... + 546358.

It is an arithmetic number, because the mean of its divisors is an integer number (42311808).

Almost surely, 21007418445 is an apocalyptic number.

It is an amenable number.

1007418445 is a deficient number, since it is larger than the sum of its proper divisors (346559411).

1007418445 is a wasteful number, since it uses less digits than its factorization.

1007418445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121.

The product of its (nonzero) digits is 17920, while the sum is 34.

The square root of 1007418445 is about 31739.8557810208. The cubic root of 1007418445 is about 1002.4667252634.

The spelling of 1007418445 in words is "one billion, seven million, four hundred eighteen thousand, four hundred forty-five".

Divisors: 1 5 11 47 55 211 235 517 1055 1847 2321 2585 9235 9917 11605 20317 49585 86809 101585 109087 389717 434045 545435 954899 1948585 4286887 4774495 18316699 21434435 91583495 201483689 1007418445