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172239376 = 241721932
BaseRepresentation
bin10100100010000…
…10101000010000
3110000002200000011
422101002220100
5323043130001
625031404304
74161003421
oct1221025020
9400080004
10172239376
1189251aa1
1249823694
13298b76ba
1418c37648
15101c3d51
hexa442a10

172239376 has 45 divisors (see below), whose sum is σ = 356345031. Its totient is φ = 80633856.

The previous prime is 172239371. The next prime is 172239383. The reversal of 172239376 is 673932271.

The square root of 172239376 is 13124.

It is a perfect power (a square), and thus also a powerful number.

172239376 is nontrivially palindromic in base 3 and base 9.

It can be written as a sum of positive squares in 4 ways, for example, as 104976 + 172134400 = 324^2 + 13120^2 .

It is a Duffinian number.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (172239371) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 892336 + ... + 892528.

Almost surely, 2172239376 is an apocalyptic number.

172239376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

172239376 is the 13124-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172239376

172239376 is an abundant number, since it is smaller than the sum of its proper divisors (184105655).

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

172239376 is an equidigital number, since it uses as much as digits as its factorization.

172239376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 212 counting only the distinct ones).

The product of its digits is 95256, while the sum is 40.

The cubic root of 172239376 is about 556.3876495434.

The spelling of 172239376 in words is "one hundred seventy-two million, two hundred thirty-nine thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 17 34 68 136 193 272 289 386 578 772 1156 1544 2312 3088 3281 4624 6562 13124 26248 37249 52496 55777 74498 111554 148996 223108 297992 446216 595984 633233 892432 1266466 2532932 5065864 10131728 10764961 21529922 43059844 86119688 172239376