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41164056 = 2332797237
BaseRepresentation
bin1001110100000…
…1110100011000
32212110100110200
42131001310120
541014222211
64030142200
71006613553
oct235016430
985410420
1041164056
112126618a
1211951960
1386b363b
14567769a
153931b56
hex2741d18

41164056 has 48 divisors (see below), whose sum is σ = 112912800. Its totient is φ = 13545792.

The previous prime is 41164049. The next prime is 41164069. The reversal of 41164056 is 65046114.

41164056 is a `hidden beast` number, since 4 + 11 + 640 + 5 + 6 = 666.

It is a super-2 number, since 2×411640562 = 3388959012742272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2070 + ... + 9306.

It is an arithmetic number, because the mean of its divisors is an integer number (2352350).

Almost surely, 241164056 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 41164056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56456400).

41164056 is an abundant number, since it is smaller than the sum of its proper divisors (71748744).

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

41164056 is a wasteful number, since it uses less digits than its factorization.

41164056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7328 (or 7321 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 41164056 is about 6415.9220693522. The cubic root of 41164056 is about 345.2810312539.

The spelling of 41164056 in words is "forty-one million, one hundred sixty-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 79 158 237 316 474 632 711 948 1422 1896 2844 5688 7237 14474 21711 28948 43422 57896 65133 86844 130266 173688 260532 521064 571723 1143446 1715169 2286892 3430338 4573784 5145507 6860676 10291014 13721352 20582028 41164056