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1042944 = 293797
BaseRepresentation
bin11111110101000000000
31221222122120
43332220000
5231333234
634204240
711602440
oct3765000
91858576
101042944
11652641
12423680
132a6936
141d2120
15159049
hexfea00

1042944 has 80 divisors (see below), whose sum is σ = 3208128. Its totient is φ = 294912.

The previous prime is 1042931. The next prime is 1042949. The reversal of 1042944 is 4492401.

It is a super-3 number, since 3×10429443 = 3403331274541105152, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (1042949) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10704 + ... + 10800.

21042944 is an apocalyptic number.

1042944 is a gapful number since it is divisible by the number (14) 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 1042944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604064).

1042944 is an abundant number, since it is smaller than the sum of its proper divisors (2165184).

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

1042944 is an frugal number, since it uses more digits than its factorization.

1042944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1042944 is about 1021.2462974229. The cubic root of 1042944 is about 101.4114509980.

The spelling of 1042944 in words is "one million, forty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 97 112 128 168 192 194 224 256 291 336 384 388 448 512 582 672 679 768 776 896 1164 1344 1358 1536 1552 1792 2037 2328 2688 2716 3104 3584 4074 4656 5376 5432 6208 8148 9312 10752 10864 12416 16296 18624 21728 24832 32592 37248 43456 49664 65184 74496 86912 130368 148992 173824 260736 347648 521472 1042944