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948089856 = 2103744089
BaseRepresentation
bin111000100000101…
…011010000000000
32110001222221210010
4320200223100000
53420202333411
6234024504520
732331426240
oct7040532000
92401887703
10948089856
11447198a3a
1222561b140
1312156351c
148dcb7b20
155837a7a6
hex3882b400

948089856 has 88 divisors (see below), whose sum is σ = 2888071360. Its totient is φ = 270876672.

The previous prime is 948089819. The next prime is 948089869. The reversal of 948089856 is 658980849.

It is a junction number, because it is equal to n+sod(n) for n = 948089796 and 948089805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 541 + ... + 43548.

Almost surely, 2948089856 is an apocalyptic number.

948089856 is a gapful number since it is divisible by the number (96) 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 948089856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444035680).

948089856 is an abundant number, since it is smaller than the sum of its proper divisors (1939981504).

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

948089856 is a wasteful number, since it uses less digits than its factorization.

948089856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44119 (or 44101 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 57.

The square root of 948089856 is about 30791.0677957098. The cubic root of 948089856 is about 982.3882664020.

The spelling of 948089856 in words is "nine hundred forty-eight million, eighty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2688 3072 3584 5376 7168 10752 21504 44089 88178 132267 176356 264534 308623 352712 529068 617246 705424 925869 1058136 1234492 1410848 1851738 2116272 2468984 2821696 3703476 4232544 4937968 5643392 7406952 8465088 9875936 11286784 14813904 16930176 19751872 22573568 29627808 33860352 39503744 45147136 59255616 67720704 79007488 118511232 135441408 158014976 237022464 316029952 474044928 948089856