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1028104224 = 25371529917
BaseRepresentation
bin111101010001111…
…010000000100000
32122122120002212020
4331101322000200
54101143313344
6250003501440
734322512260
oct7521720040
92578502766
101028104224
11488379a14
12248387880
13134cca2c4
149a7857a0
15603d3719
hex3d47a020

1028104224 has 48 divisors (see below), whose sum is σ = 3084314688. Its totient is φ = 293743872.

The previous prime is 1028104219. The next prime is 1028104267. The reversal of 1028104224 is 4224018201.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 1028104194 and 1028104203.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 764287 + ... + 765630.

It is an arithmetic number, because the mean of its divisors is an integer number (64256556).

Almost surely, 21028104224 is an apocalyptic number.

1028104224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1028104224 is an abundant number, since it is smaller than the sum of its proper divisors (2056210464).

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

1028104224 is a wasteful number, since it uses less digits than its factorization.

1028104224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1529937 (or 1529929 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 1028104224 is about 32064.0643711929. The cubic root of 1028104224 is about 1009.2816589382.

The spelling of 1028104224 in words is "one billion, twenty-eight million, one hundred four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1529917 3059834 4589751 6119668 9179502 10709419 12239336 18359004 21418838 24478672 32128257 36718008 42837676 48957344 64256514 73436016 85675352 128513028 146872032 171350704 257026056 342701408 514052112 1028104224