Search a number
-
+
40459456 = 261741907
BaseRepresentation
bin1001101001010…
…1110011000000
32211010112221101
42122111303000
540324200311
64003104144
71000620412
oct232256300
984115841
1040459456
1120924874
1211672054
1384c7a0b
1455329b2
153842ec1
hex2695cc0

40459456 has 56 divisors (see below), whose sum is σ = 87178896. Its totient is φ = 18554880.

The previous prime is 40459423. The next prime is 40459457. The reversal of 40459456 is 65495404.

It is not an unprimeable number, because it can be changed into a prime (40459457) 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 7 ways as a sum of consecutive naturals, for example, 44155 + ... + 45061.

It is an arithmetic number, because the mean of its divisors is an integer number (1556766).

Almost surely, 240459456 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 40459456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43589448).

40459456 is an abundant number, since it is smaller than the sum of its proper divisors (46719440).

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

40459456 is a wasteful number, since it uses less digits than its factorization.

40459456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The square root of 40459456 is about 6360.7747955733. The cubic root of 40459456 is about 343.2996387164.

The spelling of 40459456 in words is "forty million, four hundred fifty-nine thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 41 64 68 82 136 164 272 328 544 656 697 907 1088 1312 1394 1814 2624 2788 3628 5576 7256 11152 14512 15419 22304 29024 30838 37187 44608 58048 61676 74374 123352 148748 246704 297496 493408 594992 632179 986816 1189984 1264358 2379968 2528716 5057432 10114864 20229728 40459456