Search a number
-
+
41374368 = 253376841
BaseRepresentation
bin1001110111010…
…1001010100000
32212212000222000
42131311022200
541042434433
64034444000
71011450660
oct235651240
985760860
1041374368
112139a1a2
1211a33600
138758299
1456d01a0
153974113
hex27752a0

41374368 has 96 divisors (see below), whose sum is σ = 137934720. Its totient is φ = 11819520.

The previous prime is 41374363. The next prime is 41374423. The reversal of 41374368 is 86347314.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (41374363) 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, 2628 + ... + 9468.

It is an arithmetic number, because the mean of its divisors is an integer number (1436820).

Almost surely, 241374368 is an apocalyptic number.

41374368 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 41374368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68967360).

41374368 is an abundant number, since it is smaller than the sum of its proper divisors (96560352).

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

41374368 is a wasteful number, since it uses less digits than its factorization.

41374368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6867 (or 6853 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 41374368 is about 6432.2910381916. The cubic root of 41374368 is about 345.8680597764.

The spelling of 41374368 in words is "forty-one million, three hundred seventy-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 6841 13682 20523 27364 41046 47887 54728 61569 82092 95774 109456 123138 143661 164184 184707 191548 218912 246276 287322 328368 369414 383096 430983 492552 574644 656736 738828 766192 861966 985104 1149288 1292949 1477656 1532384 1723932 1970208 2298576 2585898 2955312 3447864 4597152 5171796 5910624 6895728 10343592 13791456 20687184 41374368