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41214048 = 253735881
BaseRepresentation
bin1001110100111…
…0000001100000
32212112220001020
42131032001200
541022322143
64031205440
71010212401
oct235160140
985486036
1041214048
112129a7a7
1211976880
138700315
14568b9a8
153941883
hex274e060

41214048 has 48 divisors (see below), whose sum is σ = 109687536. Its totient is φ = 13547520.

The previous prime is 41214029. The next prime is 41214067. The reversal of 41214048 is 84041214.

It is an interprime number because it is at equal distance from previous prime (41214029) and next prime (41214067).

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 an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4068 + ... + 9948.

It is an arithmetic number, because the mean of its divisors is an integer number (2285157).

Almost surely, 241214048 is an apocalyptic number.

41214048 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 41214048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54843768).

41214048 is an abundant number, since it is smaller than the sum of its proper divisors (68473488).

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

41214048 is a wasteful number, since it uses less digits than its factorization.

41214048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5967 (or 5959 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 41214048 is about 6419.8168198166. The cubic root of 41214048 is about 345.4207510969.

The spelling of 41214048 in words is "forty-one million, two hundred fourteen thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 438 584 876 1168 1752 2336 3504 5881 7008 11762 17643 23524 35286 47048 70572 94096 141144 188192 282288 429313 564576 858626 1287939 1717252 2575878 3434504 5151756 6869008 10303512 13738016 20607024 41214048