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31144428 = 22327731693
BaseRepresentation
bin111011011001…
…1100111101100
32011121022010100
41312303213230
530433110203
63031311100
7525503040
oct166634754
964538110
1031144428
11166422a7
12a51b490
1365b5b73
1441ca020
152b02ea3
hex1db39ec

31144428 has 72 divisors (see below), whose sum is σ = 91259168. Its totient is φ = 8771328.

The previous prime is 31144423. The next prime is 31144441. The reversal of 31144428 is 82444113.

It is not an unprimeable number, because it can be changed into a prime (31144423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17550 + ... + 19242.

Almost surely, 231144428 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 31144428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45629584).

31144428 is an abundant number, since it is smaller than the sum of its proper divisors (60114740).

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

31144428 is a wasteful number, since it uses less digits than its factorization.

31144428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783 (or 1778 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 31144428 is about 5580.7193084763. The cubic root of 31144428 is about 314.6251626010.

The spelling of 31144428 in words is "thirty-one million, one hundred forty-four thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 73 84 126 146 219 252 292 438 511 657 876 1022 1314 1533 1693 2044 2628 3066 3386 4599 5079 6132 6772 9198 10158 11851 15237 18396 20316 23702 30474 35553 47404 60948 71106 106659 123589 142212 213318 247178 370767 426636 494356 741534 865123 1112301 1483068 1730246 2224602 2595369 3460492 4449204 5190738 7786107 10381476 15572214 31144428