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427202790 = 235753131293
BaseRepresentation
bin11001011101101…
…001100011100110
31002202212011001120
4121131221203212
51333330442130
6110220234410
713405110120
oct3135514346
91082764046
10427202790
111aa165863
12bb09ba06
136a677321
1440a46210
1527788910
hex197698e6

427202790 has 128 divisors (see below), whose sum is σ = 1207084032. Its totient is φ = 94748160.

The previous prime is 427202773. The next prime is 427202791. The reversal of 427202790 is 97202724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427202791) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1457884 + ... + 1458176.

It is an arithmetic number, because the mean of its divisors is an integer number (9430344).

Almost surely, 2427202790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427202790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603542016).

427202790 is an abundant number, since it is smaller than the sum of its proper divisors (779881242).

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

427202790 is a wasteful number, since it uses less digits than its factorization.

427202790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494.

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 427202790 is about 20668.8845852891. The cubic root of 427202790 is about 753.1440107343.

The spelling of 427202790 in words is "four hundred twenty-seven million, two hundred two thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 53 70 105 106 131 159 210 262 265 293 318 371 393 530 586 655 742 786 795 879 917 1113 1310 1465 1590 1758 1834 1855 1965 2051 2226 2751 2930 3710 3930 4102 4395 4585 5502 5565 6153 6943 8790 9170 10255 11130 12306 13755 13886 15529 20510 20829 27510 30765 31058 34715 38383 41658 46587 48601 61530 69430 76766 77645 93174 97202 104145 108703 115149 145803 155290 191915 208290 217406 230298 232935 243005 268681 291606 326109 383830 465870 486010 537362 543515 575745 652218 729015 806043 1087030 1151490 1343405 1458030 1612086 1630545 2034299 2686810 3261090 4030215 4068598 6102897 8060430 10171495 12205794 14240093 20342990 28480186 30514485 42720279 61028970 71200465 85440558 142400930 213601395 427202790