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1049831424 = 2113256957
BaseRepresentation
bin111110100100110…
…010100000000000
32201011102221222100
4332210302200000
54122224101144
6252101310400
735005264005
oct7644624000
92634387870
101049831424
11499669984
12253705400
13139666935
149d5dd8ac
1562276269
hex3e932800

1049831424 has 72 divisors (see below), whose sum is σ = 3032159130. Its totient is φ = 349937664.

The previous prime is 1049831423. The next prime is 1049831441. The reversal of 1049831424 is 4241389401.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1021953024 + 27878400 = 31968^2 + 5280^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10498314242 = 2204292037635735552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1049831423) 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 5 ways as a sum of consecutive naturals, for example, 10047 + ... + 46910.

Almost surely, 21049831424 is an apocalyptic number.

It is an amenable number.

1049831424 is an abundant number, since it is smaller than the sum of its proper divisors (1982327706).

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

1049831424 is an equidigital number, since it uses as much as digits as its factorization.

1049831424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56985 (or 56962 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1049831424 is about 32401.1022034745. The cubic root of 1049831424 is about 1016.3419602426.

The spelling of 1049831424 in words is "one billion, forty-nine million, eight hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4608 6144 9216 18432 56957 113914 170871 227828 341742 455656 512613 683484 911312 1025226 1366968 1822624 2050452 2733936 3645248 4100904 5467872 7290496 8201808 10935744 14580992 16403616 21871488 29161984 32807232 43742976 58323968 65614464 87485952 116647936 131228928 174971904 262457856 349943808 524915712 1049831424