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41244048 = 2432377741
BaseRepresentation
bin1001110101010…
…1010110010000
32212121102012100
42131111112100
541024302143
64032000400
71010366016
oct235252620
985542170
1041244048
112131029a
1211990100
138710b81
1456988b6
15394a6d3
hex2755590

41244048 has 60 divisors (see below), whose sum is σ = 118560988. Its totient is φ = 13374720.

The previous prime is 41244031. The next prime is 41244059. The reversal of 41244048 is 84044214.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 23503104 + 17740944 = 4848^2 + 4212^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1458 + ... + 9198.

Almost surely, 241244048 is an apocalyptic number.

41244048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41244048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59280494).

41244048 is an abundant number, since it is smaller than the sum of its proper divisors (77316940).

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

41244048 is a wasteful number, since it uses less digits than its factorization.

41244048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7792 (or 7783 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 41244048 is about 6422.1529100450. The cubic root of 41244048 is about 345.5045421804.

The spelling of 41244048 in words is "forty-one million, two hundred forty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2664 5328 7741 15482 23223 30964 46446 61928 69669 92892 123856 139338 185784 278676 286417 371568 557352 572834 859251 1114704 1145668 1718502 2291336 2577753 3437004 4582672 5155506 6874008 10311012 13748016 20622024 41244048