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854601228 = 2232132197393
BaseRepresentation
bin110010111100000…
…010111000001100
32012120002020111100
4302330002320030
53222234214403
6220445023100
730114663525
oct6274027014
92176066440
10854601228
113a9444608
121ba254a90
1310808c700
14816dd84c
15500602a3
hex32f02e0c

854601228 has 108 divisors (see below), whose sum is σ = 2462645640. Its totient is φ = 249080832.

The previous prime is 854601217. The next prime is 854601239. The reversal of 854601228 is 822106458.

It is an interprime number because it is at equal distance from previous prime (854601217) and next prime (854601239).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 854601192 and 854601201.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 111900 + ... + 119292.

Almost surely, 2854601228 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 854601228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231322820).

854601228 is an abundant number, since it is smaller than the sum of its proper divisors (1608044412).

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

854601228 is a wasteful number, since it uses less digits than its factorization.

854601228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7448 (or 7430 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 854601228 is about 29233.5633818390. The cubic root of 854601228 is about 948.9744160239.

The spelling of 854601228 in words is "eight hundred fifty-four million, six hundred one thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 114 117 156 169 171 228 234 247 338 342 468 494 507 676 684 741 988 1014 1482 1521 2028 2223 2964 3042 3211 4446 6084 6422 7393 8892 9633 12844 14786 19266 22179 28899 29572 38532 44358 57798 66537 88716 96109 115596 133074 140467 192218 266148 280934 288327 384436 421401 561868 576654 842802 864981 1153308 1249417 1264203 1685604 1729962 1826071 2498834 2528406 3459924 3652142 3748251 4997668 5056812 5478213 7304284 7496502 10956426 11244753 14993004 16434639 21912852 22489506 23738923 32869278 44979012 47477846 65738556 71216769 94955692 142433538 213650307 284867076 427300614 854601228