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4218480 = 24355731
BaseRepresentation
bin10000000101111001110000
321221022200000
4100011321300
52034442410
6230230000
750566530
oct20057160
97838600
104218480
112421452
1214b5300
13b49156
147bb4c0
15584dc0
hex405e70

4218480 has 240 divisors, whose sum is σ = 17332224. Its totient is φ = 933120.

The previous prime is 4218469. The next prime is 4218497. The reversal of 4218480 is 848124.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136065 + ... + 136095.

Almost surely, 24218480 is an apocalyptic number.

4218480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4218480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8666112).

4218480 is an abundant number, since it is smaller than the sum of its proper divisors (13113744).

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

4218480 is a wasteful number, since it uses less digits than its factorization.

4218480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 4218480 is about 2053.8938628858. The cubic root of 4218480 is about 161.5791545833.

The spelling of 4218480 in words is "four million, two hundred eighteen thousand, four hundred eighty".