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33028506 = 23372329131
BaseRepresentation
bin111110111111…
…1100110011010
32022011000121000
41331333212122
531423403011
63135525430
7550511010
oct175774632
968130530
1033028506
1117709895
12b089876
136ac55c4
14455a8b0
152d76356
hex1f7f99a

33028506 has 128 divisors (see below), whose sum is σ = 91238400. Its totient is φ = 8648640.

The previous prime is 33028481. The next prime is 33028507. The reversal of 33028506 is 60582033.

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

It is a self number, because there is not a number n which added to its sum of digits gives 33028506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33028507) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 252061 + ... + 252191.

It is an arithmetic number, because the mean of its divisors is an integer number (712800).

Almost surely, 233028506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33028506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45619200).

33028506 is an abundant number, since it is smaller than the sum of its proper divisors (58209894).

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

33028506 is a wasteful number, since it uses less digits than its factorization.

33028506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 33028506 is about 5747.0432397886. The cubic root of 33028506 is about 320.8457639681.

The spelling of 33028506 in words is "thirty-three million, twenty-eight thousand, five hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 29 42 46 54 58 63 69 87 126 131 138 161 174 189 203 207 261 262 322 378 393 406 414 483 522 609 621 667 783 786 917 966 1179 1218 1242 1334 1449 1566 1827 1834 2001 2358 2751 2898 3013 3537 3654 3799 4002 4347 4669 5481 5502 6003 6026 7074 7598 8253 8694 9039 9338 10962 11397 12006 14007 16506 18009 18078 21091 22794 24759 26593 27117 28014 34191 36018 42021 42182 49518 53186 54234 63273 68382 79779 81351 84042 87377 102573 126063 126546 159558 162702 174754 189819 205146 239337 252126 262131 379638 478674 524262 569457 611639 718011 786393 1138914 1223278 1436022 1572786 1834917 2359179 3669834 4718358 5504751 11009502 16514253 33028506