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6133428 = 2233721961
BaseRepresentation
bin10111011001011010110100
3102112121111000
4113121122310
53032232203
6335243300
7103063500
oct27313264
912477430
106133428
11350a154
122079530
131369962
14b59300
158124a3
hex5d96b4

6133428 has 144 divisors (see below), whose sum is σ = 19790400. Its totient is φ = 1632960.

The previous prime is 6133411. The next prime is 6133429. The reversal of 6133428 is 8243316.

It is a happy number.

6133428 is a `hidden beast` number, since 613 + 3 + 42 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6133429) 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 47 ways as a sum of consecutive naturals, for example, 100518 + ... + 100578.

Almost surely, 26133428 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 6133428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9895200).

6133428 is an abundant number, since it is smaller than the sum of its proper divisors (13656972).

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

6133428 is a wasteful number, since it uses less digits than its factorization.

6133428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 92 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 6133428 is about 2476.5758619513. The cubic root of 6133428 is about 183.0491671168.

It can be divided in two parts, 6133 and 428, that added together give a 8-th power (6561 = 38).

The spelling of 6133428 in words is "six million, one hundred thirty-three thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 49 54 57 61 63 76 84 98 108 114 122 126 133 147 171 183 189 196 228 244 252 266 294 342 366 378 399 427 441 513 532 549 588 684 732 756 798 854 882 931 1026 1098 1159 1197 1281 1323 1596 1647 1708 1764 1862 2052 2196 2318 2394 2562 2646 2793 2989 3294 3477 3591 3724 3843 4636 4788 5124 5292 5586 5978 6588 6954 7182 7686 8113 8379 8967 10431 11172 11529 11956 13908 14364 15372 16226 16758 17934 20862 23058 24339 25137 26901 31293 32452 33516 35868 41724 46116 48678 50274 53802 56791 62586 73017 80703 97356 100548 107604 113582 125172 146034 161406 170373 219051 227164 292068 322812 340746 438102 511119 681492 876204 1022238 1533357 2044476 3066714 6133428