Search a number
-
+
41403432 = 233721719109
BaseRepresentation
bin1001110111110…
…0010000101000
32212220111211110
42131330100220
541044402212
64035230320
71011631500
oct235742050
985814743
1041403432
112140a014
1211a483a0
138768595
1456daa00
15397ca3c
hex277c428

41403432 has 192 divisors, whose sum is σ = 135432000. Its totient is φ = 10450944.

The previous prime is 41403431. The next prime is 41403433. The reversal of 41403432 is 23430414.

It is an interprime number because it is at equal distance from previous prime (41403431) and next prime (41403433).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 41403399 and 41403408.

It is not an unprimeable number, because it can be changed into a prime (41403431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 379794 + ... + 379902.

It is an arithmetic number, because the mean of its divisors is an integer number (705375).

Almost surely, 241403432 is an apocalyptic number.

41403432 is a gapful number since it is divisible by the number (42) 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 41403432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67716000).

41403432 is an abundant number, since it is smaller than the sum of its proper divisors (94028568).

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

41403432 is a wasteful number, since it uses less digits than its factorization.

41403432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 41403432 is about 6434.5498677064. The cubic root of 41403432 is about 345.9490274294.

Adding to 41403432 its reverse (23430414), we get a palindrome (64833846).

The spelling of 41403432 in words is "forty-one million, four hundred three thousand, four hundred thirty-two".