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31123728 = 2432292257
BaseRepresentation
bin111011010111…
…0100100010000
32011120020201200
41312232210100
530431424403
63031031200
7525355506
oct166564420
964506650
1031123728
1116628799
12a50b500
1365a960c
1441c2676
152aebca3
hex1dae910

31123728 has 90 divisors (see below), whose sum is σ = 90561354. Its totient is φ = 9977856.

The previous prime is 31123727. The next prime is 31123789. The reversal of 31123728 is 82732113.

31123728 = 2122 + 2132 + ... + 4682.

It can be written as a sum of positive squares in 3 ways, for example, as 14379264 + 16744464 = 3792^2 + 4092^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31123723) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 120976 + ... + 121232.

Almost surely, 231123728 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 31123728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45280677).

31123728 is an abundant number, since it is smaller than the sum of its proper divisors (59437626).

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

31123728 is a wasteful number, since it uses less digits than its factorization.

31123728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 291 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 31123728 is about 5578.8644005747. The cubic root of 31123728 is about 314.5554424327. Note that the first 3 decimals are identical.

The spelling of 31123728 in words is "thirty-one million, one hundred twenty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 257 261 348 464 514 522 696 771 841 1028 1044 1392 1542 1682 2056 2088 2313 2523 3084 3364 4112 4176 4626 5046 6168 6728 7453 7569 9252 10092 12336 13456 14906 15138 18504 20184 22359 29812 30276 37008 40368 44718 59624 60552 67077 89436 119248 121104 134154 178872 216137 268308 357744 432274 536616 648411 864548 1073232 1296822 1729096 1945233 2593644 3458192 3890466 5187288 7780932 10374576 15561864 31123728