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1025054142 = 2371937149233
BaseRepresentation
bin111101000110010…
…001010110111110
32122102211010221020
4331012101112332
54044403213032
6245414245010
734254550020
oct7506212676
92572733836
101025054142
11486686392
12247356766
1313449cc18
149a1d0010
155eeceb2c
hex3d1915be

1025054142 has 128 divisors (see below), whose sum is σ = 2560896000. Its totient is φ = 266996736.

The previous prime is 1025054137. The next prime is 1025054159. The reversal of 1025054142 is 2414505201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4399258 + ... + 4399490.

It is an arithmetic number, because the mean of its divisors is an integer number (20007000).

Almost surely, 21025054142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1025054142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280448000).

1025054142 is an abundant number, since it is smaller than the sum of its proper divisors (1535841858).

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

1025054142 is a wasteful number, since it uses less digits than its factorization.

1025054142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450.

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 1025054142 is about 32016.4667319803. The cubic root of 1025054142 is about 1008.2825899712.

Adding to 1025054142 its reverse (2414505201), we get a palindrome (3439559343).

The spelling of 1025054142 in words is "one billion, twenty-five million, fifty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 14 19 21 37 38 42 57 74 111 114 133 149 222 233 259 266 298 399 447 466 518 699 703 777 798 894 1043 1398 1406 1554 1631 2086 2109 2831 3129 3262 4218 4427 4893 4921 5513 5662 6258 8493 8621 8854 9786 9842 11026 13281 14763 16539 16986 17242 19817 25863 26562 29526 30989 33078 34717 38591 39634 51726 59451 60347 61978 69434 77182 92967 104151 104747 115773 118902 120694 163799 181041 185934 208302 209494 231546 243019 314241 327598 362082 486038 491397 628482 659623 729057 733229 982794 1146593 1284529 1319246 1458114 1466458 1978869 2199687 2293186 2569058 3439779 3853587 3957738 4399374 4617361 6879558 7707174 8991703 9234722 13852083 17983406 24406051 26975109 27704166 48812102 53950218 73218153 146436306 170842357 341684714 512527071 1025054142