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1024040224 = 25234872857
BaseRepresentation
bin111101000010011…
…001110100100000
32122100220122002201
4331002121310200
54044123241344
6245340422544
734243125004
oct7502316440
92570818081
101024040224
11486053639
12246b47a54
1313420657c
149a008704
155ed7e4d4
hex3d099d20

1024040224 has 48 divisors (see below), whose sum is σ = 2108792448. Its totient is φ = 488581632.

The previous prime is 1024040221. The next prime is 1024040263. The reversal of 1024040224 is 4220404201.

It is not an unprimeable number, because it can be changed into a prime (1024040221) 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 7 ways as a sum of consecutive naturals, for example, 357004 + ... + 359860.

It is an arithmetic number, because the mean of its divisors is an integer number (43933176).

Almost surely, 21024040224 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 1024040224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054396224).

1024040224 is an abundant number, since it is smaller than the sum of its proper divisors (1084752224).

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

1024040224 is a wasteful number, since it uses less digits than its factorization.

1024040224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3377 (or 3369 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 1024040224 is about 32000.6284938281. The cubic root of 1024040224 is about 1007.9500374161.

Adding to 1024040224 its reverse (4220404201), we get a palindrome (5244444425).

The spelling of 1024040224 in words is "one billion, twenty-four million, forty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 487 736 974 1948 2857 3896 5714 7792 11201 11428 15584 22402 22856 44804 45712 65711 89608 91424 131422 179216 262844 358432 525688 1051376 1391359 2102752 2782718 5565436 11130872 22261744 32001257 44523488 64002514 128005028 256010056 512020112 1024040224