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420516448 = 251110932
BaseRepresentation
bin11001000100001…
…001001001100000
31002022021110010021
4121010021021200
51330123011243
6105421043224
713264221322
oct3104111140
91068243107
10420516448
111a6409260
12b89b6514
1369175b01
143dbc5612
1526db76ed
hex19109260

420516448 has 36 divisors (see below), whose sum is σ = 903981708. Its totient is φ = 190968960.

The previous prime is 420516409. The next prime is 420516449. The reversal of 420516448 is 844615024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420516449) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 384190 + ... + 385282.

It is an arithmetic number, because the mean of its divisors is an integer number (25110603).

Almost surely, 2420516448 is an apocalyptic number.

It is an amenable number.

420516448 is an abundant number, since it is smaller than the sum of its proper divisors (483465260).

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

420516448 is an equidigital number, since it uses as much as digits as its factorization.

420516448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2207 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The square root of 420516448 is about 20506.4977019480. The cubic root of 420516448 is about 749.1940664198.

The spelling of 420516448 in words is "four hundred twenty million, five hundred sixteen thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 1093 2186 4372 8744 12023 17488 24046 34976 48092 96184 192368 384736 1194649 2389298 4778596 9557192 13141139 19114384 26282278 38228768 52564556 105129112 210258224 420516448