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1049969440 = 255131513343
BaseRepresentation
bin111110100101010…
…100001100100000
32201011200222022001
4332211110030200
54122243010230
6252104253344
735006410252
oct7645241440
92634628261
101049969440
11499753643
12253771254
131396b46c0
149d637cd2
15622a20ca
hex3e954320

1049969440 has 96 divisors (see below), whose sum is σ = 2689860096. Its totient is φ = 384998400.

The previous prime is 1049969413. The next prime is 1049969491. The reversal of 1049969440 is 449699401.

It is a super-2 number, since 2×10499694402 = 2204871649867827200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 312409 + ... + 315751.

It is an arithmetic number, because the mean of its divisors is an integer number (28019376).

Almost surely, 21049969440 is an apocalyptic number.

1049969440 is a gapful number since it is divisible by the number (10) 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 1049969440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344930048).

1049969440 is an abundant number, since it is smaller than the sum of its proper divisors (1639890656).

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

1049969440 is a wasteful number, since it uses less digits than its factorization.

1049969440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3522 (or 3514 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 46.

The square root of 1049969440 is about 32403.2319375707. The cubic root of 1049969440 is about 1016.3864960612.

The spelling of 1049969440 in words is "one billion, forty-nine million, nine hundred sixty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 151 160 208 260 302 416 520 604 755 1040 1208 1510 1963 2080 2416 3020 3343 3926 4832 6040 6686 7852 9815 12080 13372 15704 16715 19630 24160 26744 31408 33430 39260 43459 53488 62816 66860 78520 86918 106976 133720 157040 173836 217295 267440 314080 347672 434590 504793 534880 695344 869180 1009586 1390688 1738360 2019172 2523965 3476720 4038344 5047930 6562309 6953440 8076688 10095860 13124618 16153376 20191720 26249236 32811545 40383440 52498472 65623090 80766880 104996944 131246180 209993888 262492360 524984720 1049969440