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41430676 = 22722937197
BaseRepresentation
bin1001111000001…
…0111010010100
32212221220012111
42132002322110
541101240201
64040000404
71012104100
oct236027224
985856174
1041430676
1121428531
1211a60104
138777ac1
145706900
153985b51
hex2782e94

41430676 has 72 divisors (see below), whose sum is σ = 90062280. Its totient is φ = 16595712.

The previous prime is 41430673. The next prime is 41430677. The reversal of 41430676 is 67603414.

41430676 is nontrivially palindromic in base 6.

It can be written as a sum of positive squares in 4 ways, for example, as 27562500 + 13868176 = 5250^2 + 3724^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41430673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210210 + ... + 210406.

It is an arithmetic number, because the mean of its divisors is an integer number (1250865).

Almost surely, 241430676 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 41430676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45031140).

41430676 is an abundant number, since it is smaller than the sum of its proper divisors (48631604).

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

41430676 is a wasteful number, since it uses less digits than its factorization.

41430676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 41430676 is about 6436.6665285690. Note that the first 3 decimals coincide. The cubic root of 41430676 is about 346.0248904544.

The spelling of 41430676 in words is "forty-one million, four hundred thirty thousand, six hundred seventy-six".

Divisors: 1 2 4 7 14 28 29 37 49 58 74 98 116 148 196 197 203 259 394 406 518 788 812 1036 1073 1379 1421 1813 2146 2758 2842 3626 4292 5516 5684 5713 7252 7289 7511 9653 11426 14578 15022 19306 22852 29156 30044 38612 39991 51023 52577 79982 102046 105154 159964 204092 210308 211381 279937 357161 422762 559874 714322 845524 1119748 1428644 1479667 2959334 5918668 10357669 20715338 41430676