Search a number
-
+
40109376 = 263317659
BaseRepresentation
bin1001100100000…
…0010101000000
32210110202201110
42121000111000
540232000001
63551403320
7664631646
oct231002500
983422643
1040109376
112070584a
1211523540
138404578
145481196
1537c43d6
hex2640540

40109376 has 56 divisors (see below), whose sum is σ = 106619040. Its totient is φ = 13307392.

The previous prime is 40109371. The next prime is 40109387. The reversal of 40109376 is 67390104.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40109371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60535 + ... + 61193.

Almost surely, 240109376 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 40109376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53309520).

40109376 is an abundant number, since it is smaller than the sum of its proper divisors (66509664).

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

40109376 is a wasteful number, since it uses less digits than its factorization.

40109376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 40109376 is about 6333.1963493958. The cubic root of 40109376 is about 342.3066228616.

The spelling of 40109376 in words is "forty million, one hundred nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 317 634 659 951 1268 1318 1902 1977 2536 2636 3804 3954 5072 5272 7608 7908 10144 10544 15216 15816 20288 21088 30432 31632 42176 60864 63264 126528 208903 417806 626709 835612 1253418 1671224 2506836 3342448 5013672 6684896 10027344 13369792 20054688 40109376