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890035050 = 2352191272459
BaseRepresentation
bin110101000011001…
…101101101101010
32022000202110120010
4311003031231222
53310322110200
6224152312350
731025113242
oct6503155552
92260673503
10890035050
11417446563
1220a0a26b6
13112517a78
14862c4b22
155320e150
hex350cdb6a

890035050 has 96 divisors (see below), whose sum is σ = 2342707200. Its totient is φ = 222989760.

The previous prime is 890035033. The next prime is 890035057. The reversal of 890035050 is 50530098.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 890034999 and 890035017.

It is not an unprimeable number, because it can be changed into a prime (890035057) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 360721 + ... + 363179.

It is an arithmetic number, because the mean of its divisors is an integer number (24403200).

Almost surely, 2890035050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 890035050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171353600).

890035050 is an abundant number, since it is smaller than the sum of its proper divisors (1452672150).

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

890035050 is a wasteful number, since it uses less digits than its factorization.

890035050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2620 (or 2615 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 890035050 is about 29833.4552139037. The cubic root of 890035050 is about 961.9127986333.

The spelling of 890035050 in words is "eight hundred ninety million, thirty-five thousand, fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 95 114 127 150 190 254 285 381 475 570 635 762 950 1270 1425 1905 2413 2459 2850 3175 3810 4826 4918 6350 7239 7377 9525 12065 12295 14478 14754 19050 24130 24590 36195 36885 46721 60325 61475 72390 73770 93442 120650 122950 140163 180975 184425 233605 280326 312293 361950 368850 467210 624586 700815 936879 1168025 1401630 1561465 1873758 2336050 3122930 3504075 4684395 5933567 7008150 7807325 9368790 11867134 15614650 17800701 23421975 29667835 35601402 46843950 59335670 89003505 148339175 178007010 296678350 445017525 890035050