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1004441442 = 23375578123
BaseRepresentation
bin111011110111101…
…000111101100010
32121000000220121220
4323313220331202
54024114111232
6243400355510
733614416464
oct7367507542
92530026556
101004441442
11475a877a4
12240475b96
13130133964
1497586134
155d2ac42c
hex3bde8f62

1004441442 has 32 divisors (see below), whose sum is σ = 2067135552. Its totient is φ = 325139904.

The previous prime is 1004441437. The next prime is 1004441453. The reversal of 1004441442 is 2441444001.

It is a happy number.

It is a super-4 number, since 4×10044414424 (a number of 37 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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 15 ways as a sum of consecutive naturals, for example, 119593 + ... + 127715.

It is an arithmetic number, because the mean of its divisors is an integer number (64597986).

Almost surely, 21004441442 is an apocalyptic number.

1004441442 is an abundant number, since it is smaller than the sum of its proper divisors (1062694110).

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

1004441442 is a wasteful number, since it uses less digits than its factorization.

1004441442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8722.

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 1004441442 is about 31692.9241629737. The cubic root of 1004441442 is about 1001.4782942360.

Adding to 1004441442 its reverse (2441444001), we get a palindrome (3445885443).

The spelling of 1004441442 in words is "one billion, four million, four hundred forty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 37 74 111 222 557 1114 1671 3342 8123 16246 20609 24369 41218 48738 61827 123654 300551 601102 901653 1803306 4524511 9049022 13573533 27147066 167406907 334813814 502220721 1004441442