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428422280 = 23511313619
BaseRepresentation
bin11001100010010…
…011010010001000
31002212011002212212
4121202103102020
51334134003110
6110302324252
713421346356
oct3142232210
91085132785
10428422280
111aa919000
12bb589688
136a9b3410
1440c827d6
1527929e05
hex19893488

428422280 has 128 divisors (see below), whose sum is σ = 1143676800. Its totient is φ = 143573760.

The previous prime is 428422277. The next prime is 428422289. The reversal of 428422280 is 82224824.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (428422289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 691811 + ... + 692429.

It is an arithmetic number, because the mean of its divisors is an integer number (8934975).

Almost surely, 2428422280 is an apocalyptic number.

428422280 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 428422280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571838400).

428422280 is an abundant number, since it is smaller than the sum of its proper divisors (715254520).

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

428422280 is a wasteful number, since it uses less digits than its factorization.

428422280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 428422280 is about 20698.3641865728. The cubic root of 428422280 is about 753.8599697272.

The spelling of 428422280 in words is "four hundred twenty-eight million, four hundred twenty-two thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 121 130 143 220 242 260 286 440 484 520 572 605 619 715 968 1144 1210 1238 1331 1430 1573 2420 2476 2662 2860 3095 3146 4840 4952 5324 5720 6190 6292 6655 6809 7865 8047 10648 12380 12584 13310 13618 15730 16094 17303 24760 26620 27236 31460 32188 34045 34606 40235 53240 54472 62920 64376 68090 69212 74899 80470 86515 88517 136180 138424 149798 160940 173030 177034 272360 299596 321880 346060 354068 374495 442585 599192 692120 708136 748990 823889 885170 973687 1497980 1647778 1770340 1947374 2995960 3295556 3540680 3894748 4119445 4868435 6591112 7789496 8238890 9736870 10710557 16477780 19473740 21421114 32955560 38947480 42842228 53552785 85684456 107105570 214211140 428422280