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1004424024 = 233591813919
BaseRepresentation
bin111011110111100…
…100101101011000
32121000000000201210
4323313210231120
54024113032044
6243400143120
733614314632
oct7367445530
92530000653
101004424024
11475a756aa
12240467aa0
13130128a56
149757da52
155d2a71b9
hex3bde4b58

1004424024 has 64 divisors (see below), whose sum is σ = 2568384000. Its totient is φ = 327231360.

The previous prime is 1004424023. The next prime is 1004424061. The reversal of 1004424024 is 4204244001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004424023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254337 + ... + 258255.

It is an arithmetic number, because the mean of its divisors is an integer number (40131000).

Almost surely, 21004424024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004424024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284192000).

1004424024 is an abundant number, since it is smaller than the sum of its proper divisors (1563959976).

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

1004424024 is a wasteful number, since it uses less digits than its factorization.

1004424024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4168 (or 4164 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 1004424024 is about 31692.6493685839. The cubic root of 1004424024 is about 1001.4725053305.

Adding to 1004424024 its reverse (4204244001), we get a palindrome (5208668025).

The spelling of 1004424024 in words is "one billion, four million, four hundred twenty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 59 118 177 181 236 354 362 472 543 708 724 1086 1416 1448 2172 3919 4344 7838 10679 11757 15676 21358 23514 31352 32037 42716 47028 64074 85432 94056 128148 231221 256296 462442 693663 709339 924884 1387326 1418678 1849768 2128017 2774652 2837356 4256034 5549304 5674712 8512068 17024136 41851001 83702002 125553003 167404004 251106006 334808008 502212012 1004424024