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428210068 = 2211131931241
BaseRepresentation
bin11001100001011…
…111011110010100
31002211202022210011
4121201133132110
51334110210233
6110254010004
713416503566
oct3141373624
91084668704
10428210068
111aa793620
12bb4a6904
136a93a950
1440c29336
15278d70cd
hex1985f794

428210068 has 144 divisors (see below), whose sum is σ = 980925120. Its totient is φ = 160704000.

The previous prime is 428210063. The next prime is 428210129. The reversal of 428210068 is 860012824.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428210063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10444128 + ... + 10444168.

It is an arithmetic number, because the mean of its divisors is an integer number (6811980).

Almost surely, 2428210068 is an apocalyptic number.

It is an amenable number.

428210068 is an abundant number, since it is smaller than the sum of its proper divisors (552715052).

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

428210068 is a wasteful number, since it uses less digits than its factorization.

428210068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 428210068 is about 20693.2372527838. The cubic root of 428210068 is about 753.7354784167.

The spelling of 428210068 in words is "four hundred twenty-eight million, two hundred ten thousand, sixty-eight".

Divisors: 1 2 4 11 13 19 22 26 31 38 41 44 52 62 76 82 124 143 164 209 247 286 341 403 418 451 494 533 572 589 682 779 806 836 902 961 988 1066 1178 1271 1364 1558 1612 1804 1922 2132 2356 2542 2717 3116 3844 4433 5084 5434 5863 6479 7657 8569 8866 10127 10571 10868 11726 12493 12958 13981 15314 16523 17138 17732 18259 20254 21142 23452 24149 24986 25916 27962 30628 33046 34276 36518 39401 40508 42284 48298 49972 55924 66092 73036 78802 84227 96596 111397 137423 157604 168454 181753 200849 222794 237367 265639 274846 313937 336908 363506 401698 433411 445588 474734 512213 531278 549692 627874 727012 748619 803396 866822 949468 1024426 1062556 1255748 1497238 1733644 2048852 2611037 2994476 3453307 5222074 5634343 6906614 8234809 9732047 10444148 11268686 13813228 16469618 19464094 22537372 32939236 38928188 107052517 214105034 428210068