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1044415242 = 233134393389
BaseRepresentation
bin111110010000001…
…000001100001010
32200210020210101000
4332100020030022
54114332241432
6251345235430
734611245253
oct7620101412
92623223330
101044415242
114965aa6a2
12251932b76
131384bb5b0
149c9cdb2a
1561a5657c
hex3e40830a

1044415242 has 64 divisors (see below), whose sum is σ = 2505888000. Its totient is φ = 320531904.

The previous prime is 1044415241. The next prime is 1044415249. The reversal of 1044415242 is 2425144401.

1044415242 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 415 + 242 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1044415241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 306484 + ... + 309872.

It is an arithmetic number, because the mean of its divisors is an integer number (39154500).

Almost surely, 21044415242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1044415242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252944000).

1044415242 is an abundant number, since it is smaller than the sum of its proper divisors (1461472758).

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

1044415242 is a wasteful number, since it uses less digits than its factorization.

1044415242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3852 (or 3846 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 1044415242 is about 32317.4139126261. The cubic root of 1044415242 is about 1014.5911437002.

Adding to 1044415242 its reverse (2425144401), we get a palindrome (3469559643).

The spelling of 1044415242 in words is "one billion, forty-four million, four hundred fifteen thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 439 702 878 1317 2634 3389 3951 5707 6778 7902 10167 11414 11853 17121 20334 23706 30501 34242 44057 51363 61002 88114 91503 102726 132171 154089 183006 264342 308178 396513 793026 1189539 1487771 2379078 2975542 4463313 8926626 13389939 19341023 26779878 38682046 40169817 58023069 80339634 116046138 174069207 348138414 522207621 1044415242