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41222448 = 2432833449
BaseRepresentation
bin1001110101000…
…0000100110000
32212120022120100
42131100010300
541023104243
64031312400
71010246031
oct235200460
985508510
1041222448
11212a6043
121197b700
1387040a7
145690a88
1539440d3
hex2750130

41222448 has 60 divisors (see below), whose sum is σ = 116789400. Its totient is φ = 13571328.

The previous prime is 41222429. The next prime is 41222449. The reversal of 41222448 is 84422214.

41222448 is a `hidden beast` number, since 412 + 2 + 244 + 8 = 666.

It is a super-2 number, since 2×412224482 = 3398580438225408, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (41222449) 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, 10228 + ... + 13676.

It is an arithmetic number, because the mean of its divisors is an integer number (1946490).

Almost surely, 241222448 is an apocalyptic number.

41222448 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 41222448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58394700).

41222448 is an abundant number, since it is smaller than the sum of its proper divisors (75566952).

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

41222448 is a wasteful number, since it uses less digits than its factorization.

41222448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3546 (or 3537 counting only the distinct ones).

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

The square root of 41222448 is about 6420.4710107593. The cubic root of 41222448 is about 345.4442166978. Note that the first 3 decimals are identical.

The spelling of 41222448 in words is "forty-one million, two hundred twenty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 83 144 166 249 332 498 664 747 996 1328 1494 1992 2988 3449 3984 5976 6898 10347 11952 13796 20694 27592 31041 41388 55184 62082 82776 124164 165552 248328 286267 496656 572534 858801 1145068 1717602 2290136 2576403 3435204 4580272 5152806 6870408 10305612 13740816 20611224 41222448