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419289040 = 2455241113
BaseRepresentation
bin11000111111011…
…101011111010000
31002012222002102201
4120333131133100
51324314222130
6105334452544
713250620012
oct3077353720
91065862381
10419289040
111a5750075
12b8504154
1368b36231
143d9861b2
1526c23bca
hex18fdd7d0

419289040 has 20 divisors (see below), whose sum is σ = 974847204. Its totient is φ = 167715584.

The previous prime is 419289029. The next prime is 419289041. The reversal of 419289040 is 40982914.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 176677264 + 242611776 = 13292^2 + 15576^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419289041) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2620477 + ... + 2620636.

Almost surely, 2419289040 is an apocalyptic number.

419289040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

419289040 is an abundant number, since it is smaller than the sum of its proper divisors (555558164).

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

419289040 is a wasteful number, since it uses less digits than its factorization.

419289040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5241126 (or 5241120 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 419289040 is about 20476.5485372902. The cubic root of 419289040 is about 748.4644374685.

The spelling of 419289040 in words is "four hundred nineteen million, two hundred eighty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 5241113 10482226 20964452 26205565 41928904 52411130 83857808 104822260 209644520 419289040