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31438449 = 3472892
BaseRepresentation
bin111011111101…
…1011001110001
32012011020110000
41313323121301
531022012244
63041500213
7531136200
oct167733161
965136400
1031438449
1116823199
12a641669
136689943
144265237
152b60169
hex1dfb671

31438449 has 45 divisors (see below), whose sum is σ = 55251867. Its totient is φ = 17762976.

The previous prime is 31438411. The next prime is 31438471. The reversal of 31438449 is 94483413.

The square root of 31438449 is 5607.

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

It can be written as a sum of positive squares in only one way, i.e., 6036849 + 25401600 = 2457^2 + 5040^2 .

It is not a de Polignac number, because 31438449 - 213 = 31430257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31433449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 353197 + ... + 353285.

Almost surely, 231438449 is an apocalyptic number.

31438449 is the 5607-th square number.

31438449 is the 2804-th centered octagonal number.

It is an amenable number.

31438449 is a deficient number, since it is larger than the sum of its proper divisors (23813418).

31438449 is an frugal number, since it uses more digits than its factorization.

31438449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 99 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The cubic root of 31438449 is about 315.6121429785.

Adding to 31438449 its sum of digits (36), we get a triangular number (31438485 = T7929).

Multiplying 31438449 by its sum of digits (36), we get a square (1131784164 = 336422).

The spelling of 31438449 in words is "thirty-one million, four hundred thirty-eight thousand, four hundred forty-nine".

Divisors: 1 3 7 9 21 27 49 63 81 89 147 189 267 441 567 623 801 1323 1869 2403 3969 4361 5607 7209 7921 13083 16821 23763 39249 50463 55447 71289 117747 166341 213867 353241 388129 499023 641601 1164387 1497069 3493161 4491207 10479483 31438449