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1025378304 = 21131571063
BaseRepresentation
bin111101000111100…
…000100000000000
32122110102121121020
4331013200200000
54044444101204
6245425225440
734260400056
oct7507404000
92573377536
101025378304
11486887995
12247492280
13134584632
149a2761d6
1560045bd9
hex3d1e0800

1025378304 has 96 divisors (see below), whose sum is σ = 2753674560. Its totient is φ = 339296256.

The previous prime is 1025378293. The next prime is 1025378309. The reversal of 1025378304 is 4038735201.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1025378309) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 964077 + ... + 965139.

It is an arithmetic number, because the mean of its divisors is an integer number (28684110).

Almost surely, 21025378304 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 1025378304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376837280).

1025378304 is an abundant number, since it is smaller than the sum of its proper divisors (1728296256).

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

1025378304 is a wasteful number, since it uses less digits than its factorization.

1025378304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 1025378304 is about 32021.5287580090. The cubic root of 1025378304 is about 1008.3888648302.

The spelling of 1025378304 in words is "one billion, twenty-five million, three hundred seventy-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 157 192 256 314 384 471 512 628 768 942 1024 1063 1256 1536 1884 2048 2126 2512 3072 3189 3768 4252 5024 6144 6378 7536 8504 10048 12756 15072 17008 20096 25512 30144 34016 40192 51024 60288 68032 80384 102048 120576 136064 160768 166891 204096 241152 272128 321536 333782 408192 482304 500673 544256 667564 816384 964608 1001346 1088512 1335128 1632768 2002692 2177024 2670256 3265536 4005384 5340512 6531072 8010768 10681024 16021536 21362048 32043072 42724096 64086144 85448192 128172288 170896384 256344576 341792768 512689152 1025378304