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1025681616 = 2435331797
BaseRepresentation
bin111101001000101…
…010100011010000
32122111000000200000
4331020222203100
54100033302431
6245435530000
734263102261
oct7510524320
92574000600
101025681616
11486a74863
122475b9900
1313465c6cb
149a314968
15600a59e6
hex3d22a8d0

1025681616 has 120 divisors (see below), whose sum is σ = 2989537824. Its totient is φ = 340433280.

The previous prime is 1025681561. The next prime is 1025681639. The reversal of 1025681616 is 6161865201.

1025681616 is a `hidden beast` number, since 10 + 25 + 6 + 8 + 1 + 616 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1286530 + ... + 1287326.

Almost surely, 21025681616 is an apocalyptic number.

1025681616 is a gapful number since it is divisible by the number (16) 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 1025681616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494768912).

1025681616 is an abundant number, since it is smaller than the sum of its proper divisors (1963856208).

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

1025681616 is an equidigital number, since it uses as much as digits as its factorization.

1025681616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1025681616 is about 32026.2644715240. The cubic root of 1025681616 is about 1008.4882838411.

The spelling of 1025681616 in words is "one billion, twenty-five million, six hundred eighty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 331 432 486 648 662 797 972 993 1296 1324 1594 1944 1986 2391 2648 2979 3188 3888 3972 4782 5296 5958 6376 7173 7944 8937 9564 11916 12752 14346 15888 17874 19128 21519 23832 26811 28692 35748 38256 43038 47664 53622 57384 64557 71496 80433 86076 107244 114768 129114 142992 160866 172152 193671 214488 258228 263807 321732 344304 387342 428976 516456 527614 643464 774684 791421 1032912 1055228 1286928 1549368 1582842 2110456 2374263 3098736 3165684 4220912 4748526 6331368 7122789 9497052 12662736 14245578 18994104 21368367 28491156 37988208 42736734 56982312 64105101 85473468 113964624 128210202 170946936 256420404 341893872 512840808 1025681616