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382428228 = 223713675227
BaseRepresentation
bin10110110010110…
…110010001000100
3222122121100220110
4112302312101010
51240400200403
6101540433020
712322405050
oct2662662104
9878540813
10382428228
11186963a96
12a80a8770
13612cb4c0
1438b0cc60
1523892103
hex16cb6444

382428228 has 96 divisors (see below), whose sum is σ = 1114860544. Its totient is φ = 99335808.

The previous prime is 382428217. The next prime is 382428229. The reversal of 382428228 is 822824283.

It is a super-3 number, since 3×3824282283 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (382428229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70551 + ... + 75777.

Almost surely, 2382428228 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 382428228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557430272).

382428228 is an abundant number, since it is smaller than the sum of its proper divisors (732432316).

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

382428228 is a wasteful number, since it uses less digits than its factorization.

382428228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5321 (or 5319 counting only the distinct ones).

The product of its digits is 98304, while the sum is 39.

The square root of 382428228 is about 19555.7722424864. The cubic root of 382428228 is about 725.8551798502.

The spelling of 382428228 in words is "three hundred eighty-two million, four hundred twenty-eight thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 67 78 84 91 134 156 182 201 268 273 364 402 469 546 804 871 938 1092 1407 1742 1876 2613 2814 3484 5226 5227 5628 6097 10452 10454 12194 15681 18291 20908 24388 31362 36582 36589 62724 67951 73164 73178 109767 135902 146356 203853 219534 271804 350209 407706 439068 475657 700418 815412 951314 1050627 1400836 1426971 1902628 2101254 2451463 2853942 4202508 4552717 4902926 5707884 7354389 9105434 9805852 13658151 14708778 18210868 27316302 29417556 31869019 54632604 63738038 95607057 127476076 191214114 382428228