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41214426 = 231117109337
BaseRepresentation
bin1001110100111…
…0000111011010
32212112220120020
42131032013122
541022330201
64031211310
71010213451
oct235160732
985486506
1041214426
11212a0010
1211976b36
138700546
14568bb98
153941a36
hex274e1da

41214426 has 64 divisors (see below), whose sum is σ = 96370560. Its totient is φ = 11612160.

The previous prime is 41214361. The next prime is 41214449. The reversal of 41214426 is 62441214.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 41214396 and 41214405.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122130 + ... + 122466.

It is an arithmetic number, because the mean of its divisors is an integer number (1505790).

Almost surely, 241214426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41214426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48185280).

41214426 is an abundant number, since it is smaller than the sum of its proper divisors (55156134).

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

41214426 is a wasteful number, since it uses less digits than its factorization.

41214426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479.

The product of its digits is 1536, while the sum is 24.

The square root of 41214426 is about 6419.8462598414. The cubic root of 41214426 is about 345.4218071175.

The spelling of 41214426 in words is "forty-one million, two hundred fourteen thousand, four hundred twenty-six".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 109 187 218 327 337 374 561 654 674 1011 1122 1199 1853 2022 2398 3597 3706 3707 5559 5729 7194 7414 11118 11121 11458 17187 20383 22242 34374 36733 40766 61149 63019 73466 110199 122298 126038 189057 220398 378114 404063 624461 808126 1212189 1248922 1873383 2424378 3746766 6869071 13738142 20607213 41214426