[go: up one dir, main page]

Search a number
-
+
41000988 = 2237598273
BaseRepresentation
bin1001110001101…
…0000000011100
32212011001210010
42130122000130
540444012423
64022443220
71005334260
oct234320034
985131703
1041000988
1121164716
1211893510
138657352
1456340a0
1538ed693
hex271a01c

41000988 has 48 divisors (see below), whose sum is σ = 111202560. Its totient is φ = 11514624.

The previous prime is 41000987. The next prime is 41001001. The reversal of 41000988 is 88900014.

It is a happy number.

It is a super-2 number, since 2×410009882 = 3362162033952288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41000987) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 820 + ... + 9092.

It is an arithmetic number, because the mean of its divisors is an integer number (2316720).

Almost surely, 241000988 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 41000988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55601280).

41000988 is an abundant number, since it is smaller than the sum of its proper divisors (70201572).

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

41000988 is a wasteful number, since it uses less digits than its factorization.

41000988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8346 (or 8344 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 41000988 is about 6403.2013868064. The cubic root of 41000988 is about 344.8244938035.

The spelling of 41000988 in words is "forty-one million, nine hundred eighty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 12 14 21 28 42 59 84 118 177 236 354 413 708 826 1239 1652 2478 4956 8273 16546 24819 33092 49638 57911 99276 115822 173733 231644 347466 488107 694932 976214 1464321 1952428 2928642 3416749 5857284 6833498 10250247 13666996 20500494 41000988