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1049227440 = 24357955339
BaseRepresentation
bin111110100010011…
…111000010110000
32201010022021110120
4332202133002300
54122100234230
6252040330240
735000200062
oct7642370260
92633267416
101049227440
11499297118
12253473980
131394b4a51
149d4c3732
15621a7310
hex3e89f0b0

1049227440 has 80 divisors (see below), whose sum is σ = 3293836800. Its totient is φ = 276247296.

The previous prime is 1049227423. The next prime is 1049227441. The reversal of 1049227440 is 447229401.

1049227440 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 (80).

It is a super-2 number, since 2×10492274402 = 2201756441697907200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1049227441) 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, 8710 + ... + 46629.

It is an arithmetic number, because the mean of its divisors is an integer number (41172960).

Almost surely, 21049227440 is an apocalyptic number.

1049227440 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 1049227440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646918400).

1049227440 is an abundant number, since it is smaller than the sum of its proper divisors (2244609360).

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

1049227440 is a wasteful number, since it uses less digits than its factorization.

1049227440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55434 (or 55428 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 1049227440 is about 32391.7804388706. The cubic root of 1049227440 is about 1016.1470171860.

The spelling of 1049227440 in words is "one billion, forty-nine million, two hundred twenty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 79 80 120 158 237 240 316 395 474 632 790 948 1185 1264 1580 1896 2370 3160 3792 4740 6320 9480 18960 55339 110678 166017 221356 276695 332034 442712 553390 664068 830085 885424 1106780 1328136 1660170 2213560 2656272 3320340 4371781 4427120 6640680 8743562 13115343 13281360 17487124 21858905 26230686 34974248 43717810 52461372 65576715 69948496 87435620 104922744 131153430 174871240 209845488 262306860 349742480 524613720 1049227440