Search a number
-
+
1025324892 = 22351959941
BaseRepresentation
bin111101000111010…
…011011101011100
32122110022220100000
4331013103131130
54044440344032
6245424134300
734260055254
oct7507233534
92573286300
101025324892
11486850849
12247467390
13134566227
149a260964
1560034e7c
hex3d1d375c

1025324892 has 144 divisors (see below), whose sum is σ = 2880259200. Its totient is φ = 317960640.

The previous prime is 1025324891. The next prime is 1025324897. The reversal of 1025324892 is 2984235201.

It is a happy number.

It is a super-2 number, since 2×10253248922 = 2102582268309623328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1025324891) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1089142 + ... + 1090082.

It is an arithmetic number, because the mean of its divisors is an integer number (20001800).

Almost surely, 21025324892 is an apocalyptic number.

1025324892 is a gapful number since it is divisible by the number (12) 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 1025324892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440129600).

1025324892 is an abundant number, since it is smaller than the sum of its proper divisors (1854934308).

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

1025324892 is a wasteful number, since it uses less digits than its factorization.

1025324892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1025324892 is about 32020.6947457422. The cubic root of 1025324892 is about 1008.3713555197.

The spelling of 1025324892 in words is "one billion, twenty-five million, three hundred twenty-four thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 59 76 81 108 114 118 162 171 177 228 236 243 324 342 354 486 513 531 684 708 941 972 1026 1062 1121 1539 1593 1882 2052 2124 2242 2823 3078 3186 3363 3764 4484 4617 4779 5646 6156 6372 6726 8469 9234 9558 10089 11292 13452 14337 16938 17879 18468 19116 20178 25407 28674 30267 33876 35758 40356 50814 53637 55519 57348 60534 71516 76221 90801 101628 107274 111038 121068 152442 160911 166557 181602 214548 222076 228663 272403 304884 321822 333114 363204 457326 482733 499671 544806 643644 666228 914652 965466 999342 1054861 1089612 1448199 1499013 1930932 1998684 2109722 2896398 2998026 3164583 4219444 4344597 4497039 5792796 5996052 6329166 8689194 8994078 9493749 12658332 13491117 17378388 17988156 18987498 26982234 28481247 37974996 53964468 56962494 85443741 113924988 170887482 256331223 341774964 512662446 1025324892