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1028025636 = 22311413113
BaseRepresentation
bin111101010001100…
…110110100100100
32122122102010001120
4331101212310210
54101133310021
6250002053540
734322034201
oct7521466444
92578363046
101028025636
11488325970
1224834a2b0
13134ca05c1
149a764ca8
15603ba2c6
hex3d466d24

1028025636 has 96 divisors (see below), whose sum is σ = 2705947776. Its totient is φ = 301235200.

The previous prime is 1028025629. The next prime is 1028025637. The reversal of 1028025636 is 6365208201.

1028025636 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 1028025597 and 1028025606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028025637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9097516 + ... + 9097628.

It is an arithmetic number, because the mean of its divisors is an integer number (28186956).

Almost surely, 21028025636 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 1028025636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352973888).

1028025636 is an abundant number, since it is smaller than the sum of its proper divisors (1677922140).

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

1028025636 is a wasteful number, since it uses less digits than its factorization.

1028025636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 1028025636 is about 32062.8388637064. The cubic root of 1028025636 is about 1009.2559418801.

The spelling of 1028025636 in words is "one billion, twenty-eight million, twenty-five thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 113 123 132 164 226 246 339 451 452 492 678 902 1243 1353 1356 1681 1804 2486 2706 3362 3729 4633 4972 5043 5412 6724 7458 9266 10086 13899 14916 18491 18532 20172 27798 36982 50963 55473 55596 68921 73964 101926 110946 137842 152889 189953 203852 206763 221892 275684 305778 379906 413526 569859 611556 758131 759812 827052 1139718 1516262 2089483 2274393 2279436 3032524 4178966 4548786 6268449 7788073 8357932 9097572 12536898 15576146 23364219 25073796 31152292 46728438 85668803 93456876 171337606 257006409 342675212 514012818 1028025636