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172468452 = 223132967569
BaseRepresentation
bin10100100011110…
…10100011100100
3110000112022020110
422101322203210
5323122442302
625040333020
74162646322
oct1221724344
9400468213
10172468452
1189399112
1249914170
1329967a50
1418c96d12
151021bb6c
hexa47a8e4

172468452 has 96 divisors (see below), whose sum is σ = 455817600. Its totient is φ = 50383872.

The previous prime is 172468447. The next prime is 172468459. The reversal of 172468452 is 254864271.

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

It is a self number, because there is not a number n which added to its sum of digits gives 172468452.

It is not an unprimeable number, because it can be changed into a prime (172468459) 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, 302824 + ... + 303392.

It is an arithmetic number, because the mean of its divisors is an integer number (4748100).

Almost surely, 2172468452 is an apocalyptic number.

172468452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172468452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227908800).

172468452 is an abundant number, since it is smaller than the sum of its proper divisors (283349148).

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

172468452 is a wasteful number, since it uses less digits than its factorization.

172468452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 683 counting only the distinct ones).

The product of its digits is 107520, while the sum is 39.

The square root of 172468452 is about 13132.7244698120. The cubic root of 172468452 is about 556.6342029108.

The spelling of 172468452 in words is "one hundred seventy-two million, four hundred sixty-eight thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 67 78 87 116 134 156 174 201 268 348 377 402 569 754 804 871 1131 1138 1508 1707 1742 1943 2262 2276 2613 3414 3484 3886 4524 5226 5829 6828 7397 7772 10452 11658 14794 16501 22191 23316 25259 29588 33002 38123 44382 49503 50518 66004 75777 76246 88764 99006 101036 114369 151554 152492 198012 214513 228738 303108 429026 457476 495599 643539 858052 991198 1105567 1287078 1486797 1982396 2211134 2574156 2973594 3316701 4422268 5947188 6633402 13266804 14372371 28744742 43117113 57489484 86234226 172468452