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41001400 = 23521118637
BaseRepresentation
bin1001110001101…
…0000110111000
32212011002100101
42130122012320
540444021100
64022445144
71005335416
oct234320670
985132311
1041001400
1121164a60
12118937b4
1386575ab
1456342b6
1538ed86a
hex271a1b8

41001400 has 48 divisors (see below), whose sum is σ = 104000040. Its totient is φ = 14908800.

The previous prime is 41001379. The next prime is 41001409. The reversal of 41001400 is 410014.

It is a super-2 number, since 2×410014002 = 3362229603920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41001409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7119 + ... + 11518.

Almost surely, 241001400 is an apocalyptic number.

41001400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41001400 is an abundant number, since it is smaller than the sum of its proper divisors (62998640).

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

41001400 is a wasteful number, since it uses less digits than its factorization.

41001400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18664 (or 18655 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 41001400 is about 6403.2335581330. The cubic root of 41001400 is about 344.8256487937.

Adding to 41001400 its reverse (410014), we get a palindrome (41411414).

Multiplying 41001400 by its reverse (410014), we get a square (16811148019600 = 41001402).

41001400 divided by its reverse (410014) gives a square (100 = 102).

The spelling of 41001400 in words is "forty-one million, one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 18637 37274 74548 93185 149096 186370 205007 372740 410014 465925 745480 820028 931850 1025035 1640056 1863700 2050070 3727400 4100140 5125175 8200280 10250350 20500700 41001400