Search a number
-
+
40031712 = 253376619
BaseRepresentation
bin1001100010110…
…1010111100000
32210022211012000
42120231113200
540222003322
63550004000
7664156350
oct230552740
983284160
1040031712
1120662466
12114a6600
1383a8106
145460b60
1537ab3ac
hex262d5e0

40031712 has 96 divisors (see below), whose sum is σ = 133459200. Its totient is φ = 11435904.

The previous prime is 40031657. The next prime is 40031713. The reversal of 40031712 is 21713004.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40031713) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2739 + ... + 9357.

It is an arithmetic number, because the mean of its divisors is an integer number (1390200).

Almost surely, 240031712 is an apocalyptic number.

40031712 is a gapful number since it is divisible by the number (42) 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 40031712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66729600).

40031712 is an abundant number, since it is smaller than the sum of its proper divisors (93427488).

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

40031712 is a wasteful number, since it uses less digits than its factorization.

40031712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6645 (or 6631 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 40031712 is about 6327.0618773646. The cubic root of 40031712 is about 342.0855433907.

Adding to 40031712 its reverse (21713004), we get a palindrome (61744716).

The spelling of 40031712 in words is "forty million, thirty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 6619 13238 19857 26476 39714 46333 52952 59571 79428 92666 105904 119142 138999 158856 178713 185332 211808 238284 277998 317712 357426 370664 416997 476568 555996 635424 714852 741328 833994 953136 1111992 1250991 1429704 1482656 1667988 1906272 2223984 2501982 2859408 3335976 4447968 5003964 5718816 6671952 10007928 13343904 20015856 40031712