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41421840 = 24351071613
BaseRepresentation
bin1001111000000…
…0110000010000
32212221110002020
42132000300100
541100444330
64035451440
71012036245
oct236006020
985843066
1041421840
1121421929
1211a56b80
138773a85
1457035cc
153983210
hex2780c10

41421840 has 80 divisors (see below), whose sum is σ = 129688128. Its totient is φ = 10935808.

The previous prime is 41421823. The next prime is 41421841. The reversal of 41421840 is 4812414.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 41421840.

It is not an unprimeable number, because it can be changed into a prime (41421841) 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, 24874 + ... + 26486.

Almost surely, 241421840 is an apocalyptic number.

41421840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41421840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64844064).

41421840 is an abundant number, since it is smaller than the sum of its proper divisors (88266288).

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

41421840 is a wasteful number, since it uses less digits than its factorization.

41421840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1736 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 41421840 is about 6435.9801118400. The cubic root of 41421840 is about 346.0002895740. Note that the first 3 decimals are identical.

The spelling of 41421840 in words is "forty-one million, four hundred twenty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 107 120 214 240 321 428 535 642 856 1070 1284 1605 1613 1712 2140 2568 3210 3226 4280 4839 5136 6420 6452 8065 8560 9678 12840 12904 16130 19356 24195 25680 25808 32260 38712 48390 64520 77424 96780 129040 172591 193560 345182 387120 517773 690364 862955 1035546 1380728 1725910 2071092 2588865 2761456 3451820 4142184 5177730 6903640 8284368 10355460 13807280 20710920 41421840