Search a number
-
+
41554944 = 21035167
BaseRepresentation
bin1001111010000…
…1010000000000
32220012012200000
42132201100000
541114224234
64042400000
71013132304
oct236412000
986165600
1041554944
1121502932
1211b00000
1387bc532
145739d04
1539ac899
hex27a1400

41554944 has 132 divisors (see below), whose sum is σ = 125178144. Its totient is φ = 13768704.

The previous prime is 41554927. The next prime is 41554949. The reversal of 41554944 is 44945514.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 41554899 and 41554908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41554949) 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, 248749 + ... + 248915.

Almost surely, 241554944 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 41554944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62589072).

41554944 is an abundant number, since it is smaller than the sum of its proper divisors (83623200).

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

41554944 is an equidigital number, since it uses as much as digits as its factorization.

41554944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 172 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 41554944 is about 6446.3124342526. The cubic root of 41554944 is about 346.3705031358.

The spelling of 41554944 in words is "forty-one million, five hundred fifty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 167 192 216 243 256 288 324 334 384 432 486 501 512 576 648 668 768 864 972 1002 1024 1152 1296 1336 1503 1536 1728 1944 2004 2304 2592 2672 3006 3072 3456 3888 4008 4509 4608 5184 5344 6012 6912 7776 8016 9018 9216 10368 10688 12024 13527 13824 15552 16032 18036 20736 21376 24048 27054 27648 31104 32064 36072 40581 41472 42752 48096 54108 62208 64128 72144 81162 82944 85504 96192 108216 124416 128256 144288 162324 171008 192384 216432 248832 256512 288576 324648 384768 432864 513024 577152 649296 769536 865728 1154304 1298592 1539072 1731456 2308608 2597184 3462912 4617216 5194368 6925824 10388736 13851648 20777472 41554944