Search a number
-
+
40627152 = 2432307919
BaseRepresentation
bin1001101011111…
…0101111010000
32211110001222100
42122332233100
540400032102
64010440400
71002216336
oct232765720
984401870
1040627152
1120a29865
1211733100
138556147
145577b56
153877a1c
hex26bebd0

40627152 has 60 divisors (see below), whose sum is σ = 114194080. Its totient is φ = 13483584.

The previous prime is 40627141. The next prime is 40627157. The reversal of 40627152 is 25172604.

It is a super-2 number, since 2×406271522 = 3301130959262208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40627157) 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, 43749 + ... + 44667.

Almost surely, 240627152 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 40627152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57097040).

40627152 is an abundant number, since it is smaller than the sum of its proper divisors (73566928).

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

40627152 is a wasteful number, since it uses less digits than its factorization.

40627152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 40627152 is about 6373.9432065245. The cubic root of 40627152 is about 343.7732867090.

Adding to 40627152 its reverse (25172604), we get a palindrome (65799756).

The spelling of 40627152 in words is "forty million, six hundred twenty-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 307 614 919 921 1228 1838 1842 2456 2757 2763 3676 3684 4912 5514 5526 7352 7368 8271 11028 11052 14704 14736 16542 22056 22104 33084 44112 44208 66168 132336 282133 564266 846399 1128532 1692798 2257064 2539197 3385596 4514128 5078394 6771192 10156788 13542384 20313576 40627152