Search a number
-
+
41348840 = 23513131607
BaseRepresentation
bin1001110110111…
…0111011101000
32212210201221112
42131232323220
541041130330
64034125452
71011313361
oct235567350
985721845
1041348840
1121381aa5
1211a20888
138749790
1456c4b68
15396b795
hex276eee8

41348840 has 64 divisors (see below), whose sum is σ = 101122560. Its totient is φ = 15125760.

The previous prime is 41348819. The next prime is 41348863. The reversal of 41348840 is 4884314.

It is a junction number, because it is equal to n+sod(n) for n = 41348797 and 41348806.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67817 + ... + 68423.

It is an arithmetic number, because the mean of its divisors is an integer number (1580040).

Almost surely, 241348840 is an apocalyptic number.

41348840 is a gapful number since it is divisible by the number (40) 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 41348840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50561280).

41348840 is an abundant number, since it is smaller than the sum of its proper divisors (59773720).

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

41348840 is a wasteful number, since it uses less digits than its factorization.

41348840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 41348840 is about 6430.3063690621. The cubic root of 41348840 is about 345.7969115689.

The spelling of 41348840 in words is "forty-one million, three hundred forty-eight thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 131 260 262 520 524 607 655 1048 1214 1310 1703 2428 2620 3035 3406 4856 5240 6070 6812 7891 8515 12140 13624 15782 17030 24280 31564 34060 39455 63128 68120 78910 79517 157820 159034 315640 318068 397585 636136 795170 1033721 1590340 2067442 3180680 4134884 5168605 8269768 10337210 20674420 41348840