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172794072 = 23311679769
BaseRepresentation
bin10100100110010…
…10000011011000
3110001010211220110
422103022003120
5323213402242
625051324320
74165503543
oct1223120330
9401124813
10172794072
11895a0820
1249a506a0
1329a50019
1418d3d85a
151028339c
hexa4ca0d8

172794072 has 64 divisors (see below), whose sum is σ = 478339200. Its totient is φ = 51575040.

The previous prime is 172794053. The next prime is 172794073. The reversal of 172794072 is 270497271.

It is a self number, because there is not a number n which added to its sum of digits gives 172794072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172794073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12804 + ... + 22572.

It is an arithmetic number, because the mean of its divisors is an integer number (7474050).

Almost surely, 2172794072 is an apocalyptic number.

172794072 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 172794072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239169600).

172794072 is an abundant number, since it is smaller than the sum of its proper divisors (305545128).

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

172794072 is a wasteful number, since it uses less digits than its factorization.

172794072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9856 (or 9852 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 39.

The square root of 172794072 is about 13145.1158990707. The cubic root of 172794072 is about 556.9842906694.

The spelling of 172794072 in words is "one hundred seventy-two million, seven hundred ninety-four thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 67 88 132 134 201 264 268 402 536 737 804 1474 1608 2211 2948 4422 5896 8844 9769 17688 19538 29307 39076 58614 78152 107459 117228 214918 234456 322377 429836 644754 654523 859672 1289508 1309046 1963569 2579016 2618092 3927138 5236184 7199753 7854276 14399506 15708552 21599259 28799012 43198518 57598024 86397036 172794072