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416482420 = 225193107897
BaseRepresentation
bin11000110100110…
…000010001110100
31002000200111110211
4120310300101310
51323104414140
6105154355204
713215020314
oct3064602164
91060614424
10416482420
111a4103452
12b758bb04
1368392903
143d455444
152686c2ea
hex18d30474

416482420 has 24 divisors (see below), whose sum is σ = 879152904. Its totient is φ = 165728256.

The previous prime is 416482411. The next prime is 416482421. The reversal of 416482420 is 24284614.

It can be written as a sum of positive squares in 4 ways, for example, as 9572836 + 406909584 = 3094^2 + 20172^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416482421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50089 + ... + 57808.

It is an arithmetic number, because the mean of its divisors is an integer number (36631371).

Almost surely, 2416482420 is an apocalyptic number.

It is an amenable number.

416482420 is an abundant number, since it is smaller than the sum of its proper divisors (462670484).

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

416482420 is a wasteful number, since it uses less digits than its factorization.

416482420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108099 (or 108097 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 416482420 is about 20407.9009209669. The cubic root of 416482420 is about 746.7906836769.

The spelling of 416482420 in words is "four hundred sixteen million, four hundred eighty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 193 386 772 965 1930 3860 107897 215794 431588 539485 1078970 2157940 20824121 41648242 83296484 104120605 208241210 416482420