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31472406 = 23272172099
BaseRepresentation
bin111100000001…
…1101100010110
32012012222000200
41320003230112
531024104111
63042321330
7531340200
oct170035426
965188020
1031472406
1116846759
12a659246
13669c234
144273770
152b6a256
hex1e03b16

31472406 has 72 divisors (see below), whose sum is σ = 84029400. Its totient is φ = 8459136.

The previous prime is 31472359. The next prime is 31472437. The reversal of 31472406 is 60427413.

It is a self number, because there is not a number n which added to its sum of digits gives 31472406.

It is a congruent number.

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, 13945 + ... + 16043.

It is an arithmetic number, because the mean of its divisors is an integer number (1167075).

Almost surely, 231472406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31472406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42014700).

31472406 is an abundant number, since it is smaller than the sum of its proper divisors (52556994).

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

31472406 is a wasteful number, since it uses less digits than its factorization.

31472406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2138 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 31472406 is about 5610.0272726610. The cubic root of 31472406 is about 315.7257340917.

Adding to 31472406 its reverse (60427413), we get a palindrome (91899819).

It can be divided in two parts, 31472 and 406, that added together give a triangular number (31878 = T252).

The spelling of 31472406 in words is "thirty-one million, four hundred seventy-two thousand, four hundred six".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 49 51 63 98 102 119 126 147 153 238 294 306 357 441 714 833 882 1071 1666 2099 2142 2499 4198 4998 6297 7497 12594 14693 14994 18891 29386 35683 37782 44079 71366 88158 102851 107049 132237 205702 214098 249781 264474 308553 321147 499562 617106 642294 749343 925659 1498686 1748467 1851318 2248029 3496934 4496058 5245401 10490802 15736203 31472406