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955090000 = 2454149641
BaseRepresentation
bin111000111011011…
…000010001010000
32110120011121011201
4320323120101100
53424000340000
6234434520544
732445062644
oct7073302120
92416147151
10955090000
1145013a287
12227a36154
13122b44817
1490bbac24
1558cae96a
hex38ed8450

955090000 has 100 divisors (see below), whose sum is σ = 2331519300. Its totient is φ = 378880000.

The previous prime is 955089997. The next prime is 955090001. The reversal of 955090000 is 90559.

It can be written as a sum of positive squares in 10 ways, for example, as 721244736 + 233845264 = 26856^2 + 15292^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (955090001) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 1489680 + ... + 1490320.

It is an arithmetic number, because the mean of its divisors is an integer number (23315193).

Almost surely, 2955090000 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 955090000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165759650).

955090000 is an abundant number, since it is smaller than the sum of its proper divisors (1376429300).

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

955090000 is a wasteful number, since it uses less digits than its factorization.

955090000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 2025, while the sum is 28.

The square root of 955090000 is about 30904.5304122227. The cubic root of 955090000 is about 984.8001346654.

The spelling of 955090000 in words is "nine hundred fifty-five million, ninety thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 149 200 250 298 400 500 596 625 641 745 1000 1192 1250 1282 1490 2000 2384 2500 2564 2980 3205 3725 5000 5128 5960 6410 7450 10000 10256 11920 12820 14900 16025 18625 25640 29800 32050 37250 51280 59600 64100 74500 80125 93125 95509 128200 149000 160250 186250 191018 256400 298000 320500 372500 382036 400625 477545 641000 745000 764072 801250 955090 1282000 1490000 1528144 1602500 1910180 2387725 3205000 3820360 4775450 6410000 7640720 9550900 11938625 19101800 23877250 38203600 47754500 59693125 95509000 119386250 191018000 238772500 477545000 955090000