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1042327632 = 243311514639
BaseRepresentation
bin111110001000001…
…010100001010000
32200122022201201010
4332020022201100
54113313441012
6251232410520
734554432033
oct7610124120
92618281633
101042327632
114954041a5
122510a6a40
13137c3a318
149c60901a
1561792c3c
hex3e20a850

1042327632 has 80 divisors (see below), whose sum is σ = 2798551040. Its totient is φ = 333936000.

The previous prime is 1042327619. The next prime is 1042327633. The reversal of 1042327632 is 2367232401.

It is a self number, because there is not a number n which added to its sum of digits gives 1042327632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042327633) 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 15 ways as a sum of consecutive naturals, for example, 222369 + ... + 227007.

It is an arithmetic number, because the mean of its divisors is an integer number (34981888).

Almost surely, 21042327632 is an apocalyptic number.

1042327632 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 1042327632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399275520).

1042327632 is an abundant number, since it is smaller than the sum of its proper divisors (1756223408).

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

1042327632 is a wasteful number, since it uses less digits than its factorization.

1042327632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4832 (or 4826 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 1042327632 is about 32285.0992254941. The cubic root of 1042327632 is about 1013.9146939117.

The spelling of 1042327632 in words is "one billion, forty-two million, three hundred twenty-seven thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 151 186 248 302 372 453 496 604 744 906 1208 1488 1812 2416 3624 4639 4681 7248 9278 9362 13917 14043 18556 18724 27834 28086 37112 37448 55668 56172 74224 74896 111336 112344 143809 222672 224688 287618 431427 575236 700489 862854 1150472 1400978 1725708 2101467 2300944 2801956 3451416 4202934 5603912 6902832 8405868 11207824 16811736 21715159 33623472 43430318 65145477 86860636 130290954 173721272 260581908 347442544 521163816 1042327632