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1042410404 = 227417271249
BaseRepresentation
bin111110001000011…
…110101110100100
32200122110221020202
4332020132232210
54113324113104
6251234250032
734555225250
oct7610365644
92618427222
101042410404
11495460402
12251126918
13137c68bb9
149c62b260
15617ac51e
hex3e21eba4

1042410404 has 48 divisors (see below), whose sum is σ = 2140320000. Its totient is φ = 434903040.

The previous prime is 1042410401. The next prime is 1042410409. The reversal of 1042410404 is 4040142401.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1042410401) 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, 833972 + ... + 835220.

It is an arithmetic number, because the mean of its divisors is an integer number (44590000).

Almost surely, 21042410404 is an apocalyptic number.

1042410404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042410404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070160000).

1042410404 is an abundant number, since it is smaller than the sum of its proper divisors (1097909596).

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

1042410404 is a wasteful number, since it uses less digits than its factorization.

1042410404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2028 (or 2026 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 1042410404 is about 32286.3810917235. The cubic root of 1042410404 is about 1013.9415317705.

Adding to 1042410404 its reverse (4040142401), we get a palindrome (5082552805).

The spelling of 1042410404 in words is "one billion, forty-two million, four hundred ten thousand, four hundred four".

Divisors: 1 2 4 7 14 28 41 82 164 287 574 727 1148 1249 1454 2498 2908 4996 5089 8743 10178 17486 20356 29807 34972 51209 59614 102418 119228 204836 208649 358463 417298 716926 834596 908023 1433852 1816046 3632092 6356161 12712322 25424644 37228943 74457886 148915772 260602601 521205202 1042410404