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441264420 = 223252451469
BaseRepresentation
bin11010010011010…
…010100100100100
31010202022112222200
4122103102210210
51400430430140
6111441454500
713635454122
oct3223224444
91122275880
10441264420
1120709a543
12103941430
137055b80c
1442866912
1528b15030
hex1a4d2924

441264420 has 36 divisors (see below), whose sum is σ = 1338502620. Its totient is φ = 117670464.

The previous prime is 441264413. The next prime is 441264433. The reversal of 441264420 is 24462144.

It is a happy number.

441264420 is a `hidden beast` number, since 4 + 4 + 12 + 644 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 74235456 + 367028964 = 8616^2 + 19158^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1225555 + ... + 1225914.

Almost surely, 2441264420 is an apocalyptic number.

It is an amenable number.

441264420 is an abundant number, since it is smaller than the sum of its proper divisors (897238200).

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

441264420 is a wasteful number, since it uses less digits than its factorization.

441264420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2451484 (or 2451479 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 441264420 is about 21006.2947708538. The cubic root of 441264420 is about 761.3183603991.

The spelling of 441264420 in words is "four hundred forty-one million, two hundred sixty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2451469 4902938 7354407 9805876 12257345 14708814 22063221 24514690 29417628 36772035 44126442 49029380 73544070 88252884 110316105 147088140 220632210 441264420