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36054172 = 227111961101
BaseRepresentation
bin1000100110001…
…0010010011100
32111211202000201
42021202102130
533212213142
63324433244
7615312130
oct211422234
974752021
1036054172
1119396040
12100a8824
13761483b
144b073c0
153272ab7
hex226249c

36054172 has 96 divisors (see below), whose sum is σ = 84994560. Its totient is φ = 12960000.

The previous prime is 36054149. The next prime is 36054173. The reversal of 36054172 is 27145063.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 36054172.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36054173) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 356922 + ... + 357022.

It is an arithmetic number, because the mean of its divisors is an integer number (885360).

Almost surely, 236054172 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 36054172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42497280).

36054172 is an abundant number, since it is smaller than the sum of its proper divisors (48940388).

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

36054172 is a wasteful number, since it uses less digits than its factorization.

36054172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 36054172 is about 6004.5126363428. The cubic root of 36054172 is about 330.3582641089.

It can be divided in two parts, 3605 and 4172, that added together give a palindrome (7777).

The spelling of 36054172 in words is "thirty-six million, fifty-four thousand, one hundred seventy-two".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 61 76 77 101 122 133 154 202 209 244 266 308 404 418 427 532 671 707 836 854 1111 1159 1342 1414 1463 1708 1919 2222 2318 2684 2828 2926 3838 4444 4636 4697 5852 6161 7676 7777 8113 9394 12322 12749 13433 15554 16226 18788 21109 24644 25498 26866 31108 32452 42218 43127 50996 53732 67771 84436 86254 89243 117059 135542 147763 172508 178486 234118 271084 295526 356972 468236 474397 591052 819413 948794 1287649 1638826 1897588 2575298 3277652 5150596 9013543 18027086 36054172