Search a number
-
+
41183780 = 225111311429
BaseRepresentation
bin1001110100011…
…0101000100100
32212111100112012
42131012220210
541020340110
64030413352
71010025221
oct235065044
985440465
1041183780
1121279a90
1211961258
1386bc601
145680948
153937905
hex2746a24

41183780 has 48 divisors (see below), whose sum is σ = 95135040. Its totient is φ = 14851200.

The previous prime is 41183719. The next prime is 41183789. The reversal of 41183780 is 8738114.

It is a super-2 number, since 2×411837802 = 3392207470176800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (41183789) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 28106 + ... + 29534.

It is an arithmetic number, because the mean of its divisors is an integer number (1981980).

Almost surely, 241183780 is an apocalyptic number.

41183780 is the 5240-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41183780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47567520).

41183780 is an abundant number, since it is smaller than the sum of its proper divisors (53951260).

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

41183780 is a wasteful number, since it uses less digits than its factorization.

41183780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 41183780 is about 6417.4589987003. The cubic root of 41183780 is about 345.3361702617.

The spelling of 41183780 in words is "forty-one million, one hundred eighty-three thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 131 220 262 524 655 1310 1429 1441 2620 2858 2882 5716 5764 7145 7205 14290 14410 15719 28580 28820 31438 62876 78595 157190 187199 314380 374398 748796 935995 1871990 2059189 3743980 4118378 8236756 10295945 20591890 41183780