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1028054872 = 2313172920051
BaseRepresentation
bin111101010001101…
…101111101011000
32122122110121011101
4331101231331120
54101140223442
6250002441144
734322215345
oct7521557530
92578417141
101028054872
11488345929
122483631b4
13134cb09c0
149a7717cc
15603c3cb7
hex3d46df58

1028054872 has 64 divisors (see below), whose sum is σ = 2273896800. Its totient is φ = 431155200.

The previous prime is 1028054827. The next prime is 1028054873. The reversal of 1028054872 is 2784508201.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028054873) 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, 41247 + ... + 61297.

Almost surely, 21028054872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1028054872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136948400).

1028054872 is an abundant number, since it is smaller than the sum of its proper divisors (1245841928).

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

1028054872 is a wasteful number, since it uses less digits than its factorization.

1028054872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20116 (or 20112 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 37.

The square root of 1028054872 is about 32063.2947776737. The cubic root of 1028054872 is about 1009.2655091925.

The spelling of 1028054872 in words is "one billion, twenty-eight million, fifty-four thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 13 17 26 29 34 52 58 68 104 116 136 221 232 377 442 493 754 884 986 1508 1768 1972 3016 3944 6409 12818 20051 25636 40102 51272 80204 160408 260663 340867 521326 581479 681734 1042652 1162958 1363468 2085304 2325916 2726936 4431271 4651832 7559227 8862542 9885143 15118454 17725084 19770286 30236908 35450168 39540572 60473816 79081144 128506859 257013718 514027436 1028054872