Search a number
-
+
41410608 = 2432971419
BaseRepresentation
bin1001110111111…
…0000000110000
32212220212200020
42131332000300
541100114413
64035323440
71011661431
oct235760060
985825606
1041410608
1121414448
1211a50580
13876b925
1456dd488
15397ec23
hex277e030

41410608 has 80 divisors (see below), whose sum is σ = 112492800. Its totient is φ = 13108480.

The previous prime is 41410601. The next prime is 41410613. The reversal of 41410608 is 80601414.

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 (41410601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98623 + ... + 99041.

It is an arithmetic number, because the mean of its divisors is an integer number (1406160).

Almost surely, 241410608 is an apocalyptic number.

41410608 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 41410608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56246400).

41410608 is an abundant number, since it is smaller than the sum of its proper divisors (71082192).

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

41410608 is a wasteful number, since it uses less digits than its factorization.

41410608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 41410608 is about 6435.1074583102. The cubic root of 41410608 is about 345.9690127840.

The spelling of 41410608 in words is "forty-one million, four hundred ten thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 71 87 116 142 174 213 232 284 348 419 426 464 568 696 838 852 1136 1257 1392 1676 1704 2059 2514 3352 3408 4118 5028 6177 6704 8236 10056 12151 12354 16472 20112 24302 24708 29749 32944 36453 48604 49416 59498 72906 89247 97208 98832 118996 145812 178494 194416 237992 291624 356988 475984 583248 713976 862721 1427952 1725442 2588163 3450884 5176326 6901768 10352652 13803536 20705304 41410608