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1042403232 = 253131943961
BaseRepresentation
bin111110001000011…
…100111110100000
32200122110120102010
4332020130332200
54113323400412
6251234152520
734555165323
oct7610347640
92618416363
101042403232
11495455a82
12251122740
13137c65860
149c6287ba
15617aa33c
hex3e21cfa0

1042403232 has 96 divisors (see below), whose sum is σ = 3101958720. Its totient is φ = 303851520.

The previous prime is 1042403207. The next prime is 1042403233. The reversal of 1042403232 is 2323042401.

1042403232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 1042403199 and 1042403208.

It is not an unprimeable number, because it can be changed into a prime (1042403233) 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, 1732 + ... + 45692.

It is an arithmetic number, because the mean of its divisors is an integer number (32312070).

Almost surely, 21042403232 is an apocalyptic number.

1042403232 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 1042403232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550979360).

1042403232 is an abundant number, since it is smaller than the sum of its proper divisors (2059555488).

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

1042403232 is a wasteful number, since it uses less digits than its factorization.

1042403232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44006 (or 43998 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 1042403232 is about 32286.2700230299. The cubic root of 1042403232 is about 1013.9392063891.

Adding to 1042403232 its reverse (2323042401), we get a palindrome (3365445633).

The spelling of 1042403232 in words is "one billion, forty-two million, four hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 76 78 96 104 114 152 156 208 228 247 304 312 416 456 494 608 624 741 912 988 1248 1482 1824 1976 2964 3952 5928 7904 11856 23712 43961 87922 131883 175844 263766 351688 527532 571493 703376 835259 1055064 1142986 1406752 1670518 1714479 2110128 2285972 2505777 3341036 3428958 4220256 4571944 5011554 6682072 6857916 9143888 10023108 10858367 13364144 13715832 18287776 20046216 21716734 26728288 27431664 32575101 40092432 43433468 54863328 65150202 80184864 86866936 130300404 173733872 260600808 347467744 521201616 1042403232