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41378040 = 233751143
BaseRepresentation
bin1001110111011…
…0000011111000
32212212020000000
42131312003320
541043044130
64034513000
71011464454
oct235660370
985766000
1041378040
11213a1a30
1211a35760
138759b62
1456d1664
153975260
hex27760f8

41378040 has 256 divisors, whose sum is σ = 155865600. Its totient is φ = 9797760.

The previous prime is 41378027. The next prime is 41378047. The reversal of 41378040 is 4087314.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 41377995 and 41378013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41378047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 962259 + ... + 962301.

It is an arithmetic number, because the mean of its divisors is an integer number (608850).

Almost surely, 241378040 is an apocalyptic number.

41378040 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 41378040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77932800).

41378040 is an abundant number, since it is smaller than the sum of its proper divisors (114487560).

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

41378040 is a wasteful number, since it uses less digits than its factorization.

41378040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 41378040 is about 6432.5764667045. The cubic root of 41378040 is about 345.8782914730.

The spelling of 41378040 in words is "forty-one million, three hundred seventy-eight thousand, forty".