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427191450 = 23527419971
BaseRepresentation
bin11001011101100…
…110110010011010
31002202211120111120
4121131212302122
51333330111300
6110220110110
713405032060
oct3135466232
91082746446
10427191450
111aa158294
12bb095336
136a67210a
1440a42030
15277853a0
hex19766c9a

427191450 has 96 divisors (see below), whose sum is σ = 1214922240. Its totient is φ = 97310400.

The previous prime is 427191449. The next prime is 427191467. The reversal of 427191450 is 54191724.

It is a happy number.

It is a Curzon number.

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, 439465 + ... + 440435.

It is an arithmetic number, because the mean of its divisors is an integer number (12655440).

Almost surely, 2427191450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427191450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607461120).

427191450 is an abundant number, since it is smaller than the sum of its proper divisors (787730790).

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

427191450 is a wasteful number, since it uses less digits than its factorization.

427191450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1412 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 427191450 is about 20668.6102580701. The cubic root of 427191450 is about 753.1373466637.

The spelling of 427191450 in words is "four hundred twenty-seven million, one hundred ninety-one thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 350 419 525 838 971 1050 1257 1942 2095 2514 2913 2933 4190 4855 5826 5866 6285 6797 8799 9710 10475 12570 13594 14565 14665 17598 20391 20950 24275 29130 29330 31425 33985 40782 43995 48550 62850 67970 72825 73325 87990 101955 145650 146650 169925 203910 219975 339850 406849 439950 509775 813698 1019550 1220547 2034245 2441094 2847943 4068490 5695886 6102735 8543829 10171225 12205470 14239715 17087658 20342450 28479430 30513675 42719145 61027350 71198575 85438290 142397150 213595725 427191450