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41348688 = 243899679
BaseRepresentation
bin1001110110111…
…0111001010000
32212210201201220
42131232321100
541041124223
64034125040
71011313053
oct235567120
985721656
1041348688
1121381977
1211a20780
1387496a4
1456c4a9a
15396b6e3
hex276ee50

41348688 has 40 divisors (see below), whose sum is σ = 108028800. Its totient is φ = 13626624.

The previous prime is 41348683. The next prime is 41348701. The reversal of 41348688 is 88684314.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41348683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 568 + ... + 9111.

It is an arithmetic number, because the mean of its divisors is an integer number (2700720).

Almost surely, 241348688 is an apocalyptic number.

41348688 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 41348688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54014400).

41348688 is an abundant number, since it is smaller than the sum of its proper divisors (66680112).

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

41348688 is a wasteful number, since it uses less digits than its factorization.

41348688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9779 (or 9773 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 41348688 is about 6430.2945500187. The cubic root of 41348688 is about 345.7964878473.

The spelling of 41348688 in words is "forty-one million, three hundred forty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 89 178 267 356 534 712 1068 1424 2136 4272 9679 19358 29037 38716 58074 77432 116148 154864 232296 464592 861431 1722862 2584293 3445724 5168586 6891448 10337172 13782896 20674344 41348688