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31471072 = 255979211
BaseRepresentation
bin111100000001…
…1010111100000
32012012220012021
41320003113200
531024033242
63042311224
7531333253
oct170032740
965186167
1031471072
1116845756
12a658514
13669b749
14427309a
152b69b67
hex1e035e0

31471072 has 48 divisors (see below), whose sum is σ = 64108800. Its totient is φ = 15200640.

The previous prime is 31471051. The next prime is 31471079. The reversal of 31471072 is 27017413.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31471079) 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 7 ways as a sum of consecutive naturals, for example, 149047 + ... + 149257.

It is an arithmetic number, because the mean of its divisors is an integer number (1335600).

Almost surely, 231471072 is an apocalyptic number.

31471072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31471072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32054400).

31471072 is an abundant number, since it is smaller than the sum of its proper divisors (32637728).

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

31471072 is a wasteful number, since it uses less digits than its factorization.

31471072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 31471072 is about 5609.9083771484. The cubic root of 31471072 is about 315.7212732096.

Adding to 31471072 its reverse (27017413), we get a palindrome (58488485).

The spelling of 31471072 in words is "thirty-one million, four hundred seventy-one thousand, seventy-two".

Divisors: 1 2 4 8 16 32 59 79 118 158 211 236 316 422 472 632 844 944 1264 1688 1888 2528 3376 4661 6752 9322 12449 16669 18644 24898 33338 37288 49796 66676 74576 99592 133352 149152 199184 266704 398368 533408 983471 1966942 3933884 7867768 15735536 31471072