Search a number
-
+
40029976 = 237291572
BaseRepresentation
bin1001100010110…
…0111100011000
32210022201210201
42120230330120
540221424401
63545551544
7664151320
oct230547430
983281721
1040029976
1120661128
12114a55b4
1383a739c
145460280
1537aab01
hex262cf18

40029976 has 48 divisors (see below), whose sum is σ = 89305200. Its totient is φ = 16458624.

The previous prime is 40029973. The next prime is 40029989. The reversal of 40029976 is 67992004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40029973) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 254890 + ... + 255046.

It is an arithmetic number, because the mean of its divisors is an integer number (1860525).

Almost surely, 240029976 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 40029976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44652600).

40029976 is an abundant number, since it is smaller than the sum of its proper divisors (49275224).

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

40029976 is a wasteful number, since it uses less digits than its factorization.

40029976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 40029976 is about 6326.9246873975. The cubic root of 40029976 is about 342.0805984020.

The spelling of 40029976 in words is "forty million, twenty-nine thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 157 203 232 314 406 628 812 1099 1256 1624 2198 4396 4553 8792 9106 18212 24649 31871 36424 49298 63742 98596 127484 172543 197192 254968 345086 690172 714821 1380344 1429642 2859284 5003747 5718568 10007494 20014988 40029976