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1042045504 = 26374110733
BaseRepresentation
bin111110000111000…
…101101001000000
32200121210101200221
4332013011221000
54113230424004
6251222352424
734552145353
oct7607055100
92617711627
101042045504
11495231235
12250b8b714
13137b6ba96
149c57429a
1561739354
hex3e1c5a40

1042045504 has 56 divisors (see below), whose sum is σ = 2175695928. Its totient is φ = 494530560.

The previous prime is 1042045441. The next prime is 1042045577. The reversal of 1042045504 is 4055402401.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8294400 + 1033751104 = 2880^2 + 32152^2 .

It is a super-2 number, since 2×10420455042 = 2171717664813228032, which contains 22 as substring.

It is an unprimeable number.

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, 91722 + ... + 102454.

It is an arithmetic number, because the mean of its divisors is an integer number (38851713).

Almost surely, 21042045504 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 1042045504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087847964).

1042045504 is an abundant number, since it is smaller than the sum of its proper divisors (1133650424).

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

1042045504 is a wasteful number, since it uses less digits than its factorization.

1042045504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10823 (or 10813 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 1042045504 is about 32280.7296076157. The cubic root of 1042045504 is about 1013.8232065109.

Adding to 1042045504 its reverse (4055402401), we get a palindrome (5097447905).

The spelling of 1042045504 in words is "one billion, forty-two million, forty-five thousand, five hundred four".

Divisors: 1 2 4 8 16 32 37 41 64 74 82 148 164 296 328 592 656 1184 1312 1517 2368 2624 3034 6068 10733 12136 21466 24272 42932 48544 85864 97088 171728 343456 397121 440053 686912 794242 880106 1588484 1760212 3176968 3520424 6353936 7040848 12707872 14081696 16281961 25415744 28163392 32563922 65127844 130255688 260511376 521022752 1042045504