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4182218240 = 2951633679
BaseRepresentation
bin1111100101000111…
…1001011000000000
3101210110120200212212
43321101321120000
532031121440430
61530555241252
7205432161044
oct37121713000
911713520785
104182218240
111856831512
12988749228
135185c1165
142b9628024
1519726ab95
hexf9479600

4182218240 has 40 divisors (see below), whose sum is σ = 10027527840. Its totient is φ = 1672886272.

The previous prime is 4182218233. The next prime is 4182218251. The reversal of 4182218240 is 428122814.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 4182218197 and 4182218206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 814280 + ... + 819399.

It is an arithmetic number, because the mean of its divisors is an integer number (250688196).

Almost surely, 24182218240 is an apocalyptic number.

4182218240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4182218240 is an abundant number, since it is smaller than the sum of its proper divisors (5845309600).

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

4182218240 is an equidigital number, since it uses as much as digits as its factorization.

4182218240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633702 (or 1633686 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 4182218240 is about 64670.0722127322. The cubic root of 4182218240 is about 1611.1484726369.

The spelling of 4182218240 in words is "four billion, one hundred eighty-two million, two hundred eighteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 1633679 3267358 6534716 8168395 13069432 16336790 26138864 32673580 52277728 65347160 104555456 130694320 209110912 261388640 418221824 522777280 836443648 1045554560 2091109120 4182218240