Search a number
-
+
40406436 = 22327160343
BaseRepresentation
bin1001101000100…
…0110110100100
32211000212012200
42122020312210
540321001221
64002014500
71000310010
oct232106644
984025180
1040406436
1120898a54
1211647430
1384a9845
14551b540
153832426
hex2688da4

40406436 has 36 divisors (see below), whose sum is σ = 116730432. Its totient is φ = 11544624.

The previous prime is 40406383. The next prime is 40406437. The reversal of 40406436 is 63460404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (40406437) 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, 79920 + ... + 80423.

It is an arithmetic number, because the mean of its divisors is an integer number (3242512).

Almost surely, 240406436 is an apocalyptic number.

It is an amenable number.

40406436 is an abundant number, since it is smaller than the sum of its proper divisors (76323996).

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

40406436 is a wasteful number, since it uses less digits than its factorization.

40406436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160360 (or 160355 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 40406436 is about 6356.6056980121. The cubic root of 40406436 is about 343.1496144266.

The spelling of 40406436 in words is "forty million, four hundred six thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 160343 320686 481029 641372 962058 1122401 1443087 1924116 2244802 2886174 3367203 4489604 5772348 6734406 10101609 13468812 20203218 40406436