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1042328832 = 2833793581
BaseRepresentation
bin111110001000001…
…010110100000000
32200122022210100120
4332020022310000
54113314010312
6251232420240
734554435366
oct7610126400
92618283316
101042328832
11495405096
122510a7680
13137c3aa2c
149c609636
156179328c
hex3e20ad00

1042328832 has 72 divisors (see below), whose sum is σ = 2782211040. Its totient is φ = 346429440.

The previous prime is 1042328831. The next prime is 1042328843. The reversal of 1042328832 is 2388232401.

It is a junction number, because it is equal to n+sod(n) for n = 1042328793 and 1042328802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042328831) 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 7 ways as a sum of consecutive naturals, for example, 289282 + ... + 292862.

It is an arithmetic number, because the mean of its divisors is an integer number (38641820).

Almost surely, 21042328832 is an apocalyptic number.

1042328832 is a gapful number since it is divisible by the number (12) 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 1042328832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391105520).

1042328832 is an abundant number, since it is smaller than the sum of its proper divisors (1739882208).

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

1042328832 is an equidigital number, since it uses as much as digits as its factorization.

1042328832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3979 (or 3965 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 1042328832 is about 32285.1178099136. The cubic root of 1042328832 is about 1013.9150830079.

The spelling of 1042328832 in words is "one billion, forty-two million, three hundred twenty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 379 384 758 768 1137 1516 2274 3032 3581 4548 6064 7162 9096 10743 12128 14324 18192 21486 24256 28648 36384 42972 48512 57296 72768 85944 97024 114592 145536 171888 229184 291072 343776 458368 687552 916736 1357199 1375104 2714398 2750208 4071597 5428796 8143194 10857592 16286388 21715184 32572776 43430368 65145552 86860736 130291104 173721472 260582208 347442944 521164416 1042328832