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41164992 = 2632117389
BaseRepresentation
bin1001110100001…
…0000011000000
32212110101202100
42131002003000
541014234432
64030150400
71006616361
oct235020300
985411670
1041164992
1121266960
1211952400
1386b3bab
145677b68
15393207c
hex27420c0

41164992 has 168 divisors, whose sum is σ = 131947920. Its totient is φ = 12165120.

The previous prime is 41164987. The next prime is 41165021. The reversal of 41164992 is 29946114.

It is a happy number.

41164992 is a `hidden beast` number, since 4 + 1 + 1 + 649 + 9 + 2 = 666.

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 462484 + ... + 462572.

Almost surely, 241164992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41164992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65973960).

41164992 is an abundant number, since it is smaller than the sum of its proper divisors (90782928).

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

41164992 is a wasteful number, since it uses less digits than its factorization.

41164992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 178 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 41164992 is about 6415.9950124669. The cubic root of 41164992 is about 345.2836482668.

The spelling of 41164992 in words is "forty-one million, one hundred sixty-four thousand, nine hundred ninety-two".