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1025486080 = 2853759367
BaseRepresentation
bin111101000111111…
…010110100000000
32122110122002102221
4331013322310000
54100011023310
6245431420424
734261326223
oct7507726400
92573562387
101025486080
11486950963
12247524714
131345c16c8
149a2a35ba
1560067ada
hex3d1fad00

1025486080 has 144 divisors (see below), whose sum is σ = 2572496640. Its totient is φ = 391274496.

The previous prime is 1025486057. The next prime is 1025486083. The reversal of 1025486080 is 806845201.

1025486080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1025486083) 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, 2794057 + ... + 2794423.

It is an arithmetic number, because the mean of its divisors is an integer number (17864560).

Almost surely, 21025486080 is an apocalyptic number.

1025486080 is a gapful number since it is divisible by the number (10) 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 1025486080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286248320).

1025486080 is an abundant number, since it is smaller than the sum of its proper divisors (1547010560).

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

1025486080 is an equidigital number, since it uses as much as digits as its factorization.

1025486080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 1025486080 is about 32023.2115816012. The cubic root of 1025486080 is about 1008.4241936808.

The spelling of 1025486080 in words is "one billion, twenty-five million, four hundred eighty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 59 64 74 80 118 128 148 160 185 236 256 295 296 320 367 370 472 590 592 640 734 740 944 1180 1184 1280 1468 1480 1835 1888 2183 2360 2368 2936 2960 3670 3776 4366 4720 4736 5872 5920 7340 7552 8732 9440 9472 10915 11744 11840 13579 14680 15104 17464 18880 21653 21830 23488 23680 27158 29360 34928 37760 43306 43660 46976 47360 54316 58720 67895 69856 75520 86612 87320 93952 108265 108632 117440 135790 139712 173224 174640 216530 217264 234880 271580 279424 346448 349280 433060 434528 469760 543160 558848 692896 698560 801161 866120 869056 1086320 1385792 1397120 1602322 1732240 1738112 2172640 2771584 2794240 3204644 3464480 3476224 4005805 4345280 5543168 6409288 6928960 8011610 8690560 12818576 13857920 16023220 17381120 25637152 27715840 32046440 51274304 64092880 102548608 128185760 205097216 256371520 512743040 1025486080