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40040832 = 273132617
BaseRepresentation
bin1001100010111…
…1100110000000
32210100021200210
42120233212000
540222301312
63550114120
7664225056
oct230574600
983307623
1040040832
11206692a7
12114ab940
1383ac300
1454641d6
1537ade3c
hex262f980

40040832 has 96 divisors (see below), whose sum is σ = 115355880. Its totient is φ = 12300288.

The previous prime is 40040813. The next prime is 40040839. The reversal of 40040832 is 23804004.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 40040799 and 40040808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40040839) 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 11 ways as a sum of consecutive naturals, for example, 64588 + ... + 65204.

Almost surely, 240040832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40040832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57677940).

40040832 is an abundant number, since it is smaller than the sum of its proper divisors (75315048).

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

40040832 is a wasteful number, since it uses less digits than its factorization.

40040832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 40040832 is about 6327.7825499933. The cubic root of 40040832 is about 342.1115193242. Note that the first 3 decimals are identical.

Adding to 40040832 its reverse (23804004), we get a palindrome (63844836).

The spelling of 40040832 in words is "forty million, forty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 169 192 208 312 338 384 416 507 617 624 676 832 1014 1234 1248 1352 1664 1851 2028 2468 2496 2704 3702 4056 4936 4992 5408 7404 8021 8112 9872 10816 14808 16042 16224 19744 21632 24063 29616 32084 32448 39488 48126 59232 64168 64896 78976 96252 104273 118464 128336 192504 208546 236928 256672 312819 385008 417092 513344 625638 770016 834184 1026688 1251276 1540032 1668368 2502552 3080064 3336736 5005104 6673472 10010208 13346944 20020416 40040832