Search a number
-
+
40441056 = 253478963
BaseRepresentation
bin1001101001000…
…1010011100000
32211002121200220
42122101103200
540323103211
64002443040
71000512645
oct232212340
984077626
1040441056
1120911a67
1211663480
1384bc526
145529dcc
15383c806
hex26914e0

40441056 has 48 divisors (see below), whose sum is σ = 108428544. Its totient is φ = 13192064.

The previous prime is 40441039. The next prime is 40441057. The reversal of 40441056 is 65014404.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40441057) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31 + ... + 8993.

It is an arithmetic number, because the mean of its divisors is an integer number (2258928).

Almost surely, 240441056 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 40441056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54214272).

40441056 is an abundant number, since it is smaller than the sum of its proper divisors (67987488).

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

40441056 is a wasteful number, since it uses less digits than its factorization.

40441056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9023 (or 9015 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 40441056 is about 6359.3282664130. The cubic root of 40441056 is about 343.2475893169.

The spelling of 40441056 in words is "forty million, four hundred forty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2256 4512 8963 17926 26889 35852 53778 71704 107556 143408 215112 286816 421261 430224 842522 860448 1263783 1685044 2527566 3370088 5055132 6740176 10110264 13480352 20220528 40441056