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428194940 = 225314431559
BaseRepresentation
bin11001100001011…
…011110001111100
31002211201120000212
4121201123301330
51334104214230
6110253411552
713416411515
oct3141336174
91084646025
10428194940
111aa783218
12bb499bb8
136a933ab4
1440c23a0c
15278d2895
hex1985bc7c

428194940 has 48 divisors (see below), whose sum is σ = 930908160. Its totient is φ = 165272640.

The previous prime is 428194913. The next prime is 428194951. The reversal of 428194940 is 49491824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273881 + ... + 275439.

It is an arithmetic number, because the mean of its divisors is an integer number (19393920).

Almost surely, 2428194940 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 428194940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465454080).

428194940 is an abundant number, since it is smaller than the sum of its proper divisors (502713220).

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

428194940 is a wasteful number, since it uses less digits than its factorization.

428194940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2042 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The square root of 428194940 is about 20692.8717195077. The cubic root of 428194940 is about 753.7266022089.

The spelling of 428194940 in words is "four hundred twenty-eight million, one hundred ninety-four thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 443 620 886 1559 1772 2215 3118 4430 6236 7795 8860 13733 15590 27466 31180 48329 54932 68665 96658 137330 193316 241645 274660 483290 690637 966580 1381274 2762548 3453185 6906370 13812740 21409747 42819494 85638988 107048735 214097470 428194940