Search a number
-
+
31757994 = 234434797
BaseRepresentation
bin111100100100…
…1011010101010
32012202110210000
41321021122222
531112223434
63052403430
7533636622
oct171113252
965673700
1031757994
1116a21284
12a776576
13676c218
144309882
152bc4b99
hex1e496aa

31757994 has 80 divisors (see below), whose sum is σ = 75132288. Its totient is φ = 10015488.

The previous prime is 31757969. The next prime is 31758007. The reversal of 31757994 is 49975713.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 327354 + ... + 327450.

Almost surely, 231757994 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31757994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37566144).

31757994 is an abundant number, since it is smaller than the sum of its proper divisors (43374294).

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

31757994 is a wasteful number, since it uses less digits than its factorization.

31757994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 192 counting only the distinct ones).

The product of its digits is 238140, while the sum is 45.

The square root of 31757994 is about 5635.4231429414. The cubic root of 31757994 is about 316.6778497743.

It can be divided in two parts, 317 and 57994, that added together give a triangular number (58311 = T341).

The spelling of 31757994 in words is "thirty-one million, seven hundred fifty-seven thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 9 18 27 43 47 54 81 86 94 97 129 141 162 194 258 282 291 387 423 582 774 846 873 1161 1269 1746 2021 2322 2538 2619 3483 3807 4042 4171 4559 5238 6063 6966 7614 7857 8342 9118 12126 12513 13677 15714 18189 25026 27354 36378 37539 41031 54567 75078 82062 109134 112617 123093 163701 196037 225234 246186 327402 337851 369279 392074 588111 675702 738558 1176222 1764333 3528666 5292999 10585998 15878997 31757994