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1025393964 = 223717242239
BaseRepresentation
bin111101000111100…
…100010100101100
32122110110102002020
4331013210110230
54100000101324
6245425430140
734260463530
oct7507442454
92573412066
101025393964
11486898731
1224749b350
1313458b7ba
149a27bbc0
156004a679
hex3d1e452c

1025393964 has 72 divisors (see below), whose sum is σ = 2904760320. Its totient is φ = 275729664.

The previous prime is 1025393939. The next prime is 1025393983. The reversal of 1025393964 is 4693935201.

It is a happy number.

1025393964 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 (42).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3157 + ... + 45395.

Almost surely, 21025393964 is an apocalyptic number.

1025393964 is a gapful number since it is divisible by the number (14) 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 1025393964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452380160).

1025393964 is an abundant number, since it is smaller than the sum of its proper divisors (1879366356).

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

1025393964 is a wasteful number, since it uses less digits than its factorization.

1025393964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42287 (or 42268 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The square root of 1025393964 is about 32021.7732800668. The cubic root of 1025393964 is about 1008.3939983141.

The spelling of 1025393964 in words is "one billion, twenty-five million, three hundred ninety-three thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 289 357 476 578 714 867 1156 1428 1734 2023 3468 4046 6069 8092 12138 24276 42239 84478 126717 168956 253434 295673 506868 591346 718063 887019 1182692 1436126 1774038 2154189 2872252 3548076 4308378 5026441 8616756 10052882 12207071 15079323 20105764 24414142 30158646 36621213 48828284 60317292 73242426 85449497 146484852 170898994 256348491 341797988 512696982 1025393964