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31072050 = 23252292381
BaseRepresentation
bin111011010000…
…1111100110010
32011110121211200
41312201330302
530423301200
63025552030
7525052032
oct166417462
964417750
1031072050
11165a2989
12a4a5616
13658bc39
1441ab8c2
152adb800
hex1da1f32

31072050 has 72 divisors (see below), whose sum is σ = 86395140. Its totient is φ = 7996800.

The previous prime is 31072037. The next prime is 31072091. The reversal of 31072050 is 5027013.

It can be written as a sum of positive squares in 6 ways, for example, as 2331729 + 28740321 = 1527^2 + 5361^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11860 + ... + 14240.

Almost surely, 231072050 is an apocalyptic number.

31072050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31072050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43197570).

31072050 is an abundant number, since it is smaller than the sum of its proper divisors (55323090).

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

31072050 is a wasteful number, since it uses less digits than its factorization.

31072050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2428 (or 2420 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 31072050 is about 5574.2308886518. The cubic root of 31072050 is about 314.3812494888.

Adding to 31072050 its reverse (5027013), we get a palindrome (36099063).

The spelling of 31072050 in words is "thirty-one million, seventy-two thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 29 30 45 50 58 75 87 90 145 150 174 225 261 290 435 450 522 725 870 1305 1450 2175 2381 2610 4350 4762 6525 7143 11905 13050 14286 21429 23810 35715 42858 59525 69049 71430 107145 119050 138098 178575 207147 214290 345245 357150 414294 535725 621441 690490 1035735 1071450 1242882 1726225 2071470 3107205 3452450 5178675 6214410 10357350 15536025 31072050