Search a number
-
+
41825408 = 272314207
BaseRepresentation
bin1001111110001…
…1010010000000
32220200221200012
42133203102000
541201403113
64052244052
71015336652
oct237432200
986627605
1041825408
1121678059
1212010628
138885681
1457aa6d2
153a12aa8
hex27e3480

41825408 has 32 divisors (see below), whose sum is σ = 86952960. Its totient is φ = 20002048.

The previous prime is 41825383. The next prime is 41825437. The reversal of 41825408 is 80452814.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4160 + ... + 10047.

It is an arithmetic number, because the mean of its divisors is an integer number (2717280).

Almost surely, 241825408 is an apocalyptic number.

It is an amenable number.

41825408 is an abundant number, since it is smaller than the sum of its proper divisors (45127552).

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

41825408 is a wasteful number, since it uses less digits than its factorization.

41825408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14244 (or 14232 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

The square root of 41825408 is about 6467.2566053930. The cubic root of 41825408 is about 347.1203396282.

The spelling of 41825408 in words is "forty-one million, eight hundred twenty-five thousand, four hundred eight".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 368 736 1472 2944 14207 28414 56828 113656 227312 326761 454624 653522 909248 1307044 1818496 2614088 5228176 10456352 20912704 41825408