Search a number
-
+
172283488 = 25131971307
BaseRepresentation
bin10100100010011…
…01011001100000
3110000011220111221
422101031121200
5323101032423
625032344424
74161246136
oct1221153140
9400156457
10172283488
1189282153
1249845114
13299017c0
1418c49756
15101d1e5d
hexa44d660

172283488 has 96 divisors (see below), whose sum is σ = 391184640. Its totient is φ = 74027520.

The previous prime is 172283483. The next prime is 172283497. The reversal of 172283488 is 884382271.

It is a super-2 number, since 2×1722834882 = 59363200474892288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172283483) 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, 561031 + ... + 561337.

It is an arithmetic number, because the mean of its divisors is an integer number (4074840).

Almost surely, 2172283488 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 172283488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195592320).

172283488 is an abundant number, since it is smaller than the sum of its proper divisors (218901152).

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

172283488 is a wasteful number, since it uses less digits than its factorization.

172283488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 412 counting only the distinct ones).

The product of its digits is 172032, while the sum is 43.

The square root of 172283488 is about 13125.6804775981. The cubic root of 172283488 is about 556.4351440587.

The spelling of 172283488 in words is "one hundred seventy-two million, two hundred eighty-three thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 71 76 104 142 152 208 247 284 304 307 416 494 568 608 614 923 988 1136 1228 1349 1846 1976 2272 2456 2698 3692 3952 3991 4912 5396 5833 7384 7904 7982 9824 10792 11666 14768 15964 17537 21584 21797 23332 29536 31928 35074 43168 43594 46664 63856 70148 75829 87188 93328 127712 140296 151658 174376 186656 280592 283361 303316 348752 414143 561184 566722 606632 697504 828286 1133444 1213264 1656572 2266888 2426528 3313144 4533776 5383859 6626288 9067552 10767718 13252576 21535436 43070872 86141744 172283488