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421441104 = 24374726687
BaseRepresentation
bin11001000111101…
…010111001010000
31002101000102111210
4121013222321100
51330342103404
6105452540120
713305122160
oct3107527120
91071012453
10421441104
111a698aa37
12b9181640
136940a946
143dd865a0
1526eeb689
hex191eae50

421441104 has 80 divisors (see below), whose sum is σ = 1270775808. Its totient is φ = 117845376.

The previous prime is 421441103. The next prime is 421441117. The reversal of 421441104 is 401144124.

It is a super-2 number, since 2×4214411042 = 355225208281477632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421441103) 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, 2449 + ... + 29135.

Almost surely, 2421441104 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 421441104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635387904).

421441104 is an abundant number, since it is smaller than the sum of its proper divisors (849334704).

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

421441104 is a wasteful number, since it uses less digits than its factorization.

421441104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26752 (or 26746 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 421441104 is about 20529.0307613389. The cubic root of 421441104 is about 749.7427882440.

Adding to 421441104 its reverse (401144124), we get a palindrome (822585228).

The spelling of 421441104 in words is "four hundred twenty-one million, four hundred forty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 47 48 56 84 94 112 141 168 188 282 329 336 376 564 658 752 987 1128 1316 1974 2256 2632 3948 5264 7896 15792 26687 53374 80061 106748 160122 186809 213496 320244 373618 426992 560427 640488 747236 1120854 1254289 1280976 1494472 2241708 2508578 2988944 3762867 4483416 5017156 7525734 8780023 8966832 10034312 15051468 17560046 20068624 26340069 30102936 35120092 52680138 60205872 70240184 105360276 140480368 210720552 421441104