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970045050 = 2352131273917
BaseRepresentation
bin111001110100011…
…011011001111010
32111121022101122110
4321310123121322
53441312420200
6240131233150
733016150452
oct7164333172
92447271573
10970045050
11458624227
12230a487b6
13125c7c870
1492b90d62
155a265b50
hex39d1b67a

970045050 has 96 divisors (see below), whose sum is σ = 2611832832. Its totient is φ = 236839680.

The previous prime is 970045049. The next prime is 970045103. The reversal of 970045050 is 50540079.

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 = 970044999 and 970045017.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 245692 + ... + 249608.

It is an arithmetic number, because the mean of its divisors is an integer number (27206592).

Almost surely, 2970045050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 970045050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305916416).

970045050 is an abundant number, since it is smaller than the sum of its proper divisors (1641787782).

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

970045050 is a wasteful number, since it uses less digits than its factorization.

970045050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4072 (or 4067 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 970045050 is about 31145.5462305608. The cubic root of 970045050 is about 989.9136237261.

The spelling of 970045050 in words is "nine hundred seventy million, forty-five thousand, fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 127 130 150 195 254 325 381 390 635 650 762 975 1270 1651 1905 1950 3175 3302 3810 3917 4953 6350 7834 8255 9525 9906 11751 16510 19050 19585 23502 24765 39170 41275 49530 50921 58755 82550 97925 101842 117510 123825 152763 195850 247650 254605 293775 305526 497459 509210 587550 763815 994918 1273025 1492377 1527630 2487295 2546050 2984754 3819075 4974590 6466967 7461885 7638150 12436475 12933934 14923770 19400901 24872950 32334835 37309425 38801802 64669670 74618850 97004505 161674175 194009010 323348350 485022525 970045050