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428254840 = 235134153379
BaseRepresentation
bin11001100001101…
…010011001111000
31002211211121012101
4121201222121320
51334113123330
6110254553144
713420051246
oct3141523170
91084747171
10428254840
111aa814222
12bb5087b4
136a955140
1440c3b796
15278e54ca
hex1986a678

428254840 has 128 divisors (see below), whose sum is σ = 1085918400. Its totient is φ = 150958080.

The previous prime is 428254829. The next prime is 428254843. The reversal of 428254840 is 48452824.

It is a self number, because there is not a number n which added to its sum of digits gives 428254840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428254843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1129771 + ... + 1130149.

Almost surely, 2428254840 is an apocalyptic number.

428254840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428254840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542959200).

428254840 is an abundant number, since it is smaller than the sum of its proper divisors (657663560).

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

428254840 is a wasteful number, since it uses less digits than its factorization.

428254840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 37.

The square root of 428254840 is about 20694.3190272113. The cubic root of 428254840 is about 753.7617467301.

The spelling of 428254840 in words is "four hundred twenty-eight million, two hundred fifty-four thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 41 52 53 65 82 104 106 130 164 205 212 260 265 328 379 410 424 520 530 533 689 758 820 1060 1066 1378 1516 1640 1895 2120 2132 2173 2665 2756 3032 3445 3790 4264 4346 4927 5330 5512 6890 7580 8692 9854 10660 10865 13780 15160 15539 17384 19708 20087 21320 21730 24635 27560 28249 31078 39416 40174 43460 49270 56498 62156 77695 80348 86920 98540 100435 112996 124312 141245 155390 160696 197080 200870 202007 225992 261131 282490 310780 401740 404014 522262 564980 621560 803480 808028 823567 1010035 1044524 1129960 1305655 1616056 1647134 2020070 2089048 2611310 3294268 4040140 4117835 5222620 6588536 8080280 8235670 10445240 10706371 16471340 21412742 32942680 42825484 53531855 85650968 107063710 214127420 428254840