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41220096 = 21136709
BaseRepresentation
bin1001110100111…
…1100000000000
32212120012100020
42131033200000
541023020341
64031253440
71010236131
oct235174000
985505306
1041220096
11212a42a5
121197a280
138702cb8
14568dc88
153943566
hex274f800

41220096 has 48 divisors (see below), whose sum is σ = 109909800. Its totient is φ = 13737984.

The previous prime is 41220073. The next prime is 41220097. The reversal of 41220096 is 69002214.

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 (41220097) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2790 + ... + 9498.

Almost surely, 241220096 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 41220096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54954900).

41220096 is an abundant number, since it is smaller than the sum of its proper divisors (68689704).

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

41220096 is an equidigital number, since it uses as much as digits as its factorization.

41220096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6734 (or 6714 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 41220096 is about 6420.2878440145. The cubic root of 41220096 is about 345.4376466509.

The spelling of 41220096 in words is "forty-one million, two hundred twenty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 6144 6709 13418 20127 26836 40254 53672 80508 107344 161016 214688 322032 429376 644064 858752 1288128 1717504 2576256 3435008 5152512 6870016 10305024 13740032 20610048 41220096