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1000415442 = 231321138731
BaseRepresentation
bin111011101000010…
…010000011010010
32120201110100222210
4323220102003102
54022101243232
6243134212550
733535251045
oct7350220322
92521410883
101000415442
11473787a24
1223b054156
1312c354300
1496c18c5c
155cc645cc
hex3ba120d2

1000415442 has 48 divisors (see below), whose sum is σ = 2186003808. Its totient is φ = 305061120.

The previous prime is 1000415441. The next prime is 1000415453. The reversal of 1000415442 is 2445140001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1000415441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110217 + ... + 118947.

It is an arithmetic number, because the mean of its divisors is an integer number (45541746).

Almost surely, 21000415442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000415442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093001904).

1000415442 is an abundant number, since it is smaller than the sum of its proper divisors (1185588366).

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

1000415442 is a wasteful number, since it uses less digits than its factorization.

1000415442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8875 (or 8862 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 1000415442 is about 31629.3446343739. The cubic root of 1000415442 is about 1000.1384614942.

Adding to 1000415442 its reverse (2445140001), we get a palindrome (3445555443).

The spelling of 1000415442 in words is "one billion, four hundred fifteen thousand, four hundred forty-two".

Divisors: 1 2 3 6 13 26 39 78 113 169 226 338 339 507 678 1014 1469 2938 4407 8731 8814 17462 19097 26193 38194 52386 57291 113503 114582 227006 340509 681018 986603 1475539 1973206 2951078 2959809 4426617 5919618 8853234 12825839 25651678 38477517 76955034 166735907 333471814 500207721 1000415442