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41164002 = 232111271637
BaseRepresentation
bin1001110100000…
…1110011100010
32212110100101200
42131001303202
541014222002
64030142030
71006613445
oct235016342
985410350
1041164002
1121266140
1211951916
1386b35c9
14567765c
153931b1c
hex2741ce2

41164002 has 48 divisors (see below), whose sum is σ = 98122752. Its totient is φ = 12368160.

The previous prime is 41163989. The next prime is 41164009. The reversal of 41164002 is 20046114.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (41164009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24328 + ... + 25964.

It is an arithmetic number, because the mean of its divisors is an integer number (2044224).

Almost surely, 241164002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41164002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49061376).

41164002 is an abundant number, since it is smaller than the sum of its proper divisors (56958750).

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

41164002 is a wasteful number, since it uses less digits than its factorization.

41164002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 41164002 is about 6415.9178610702. The cubic root of 41164002 is about 345.2808802712.

It can be divided in two parts, 4116 and 4002, that added together give a palindrome (8118).

The spelling of 41164002 in words is "forty-one million, one hundred sixty-four thousand, two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 127 198 254 381 762 1143 1397 1637 2286 2794 3274 4191 4911 8382 9822 12573 14733 18007 25146 29466 36014 54021 108042 162063 207899 324126 415798 623697 1247394 1871091 2286889 3742182 4573778 6860667 13721334 20582001 41164002