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8412480 = 2632523127
BaseRepresentation
bin100000000101…
…110101000000
3120211101202100
4200011311000
54123144410
6500150400
7131335116
oct40056500
916741670
108412480
11482646a
122998400
1319870cb
14118dab6
15b128c0
hex805d40

8412480 has 168 divisors, whose sum is σ = 30431232. Its totient is φ = 2128896.

The previous prime is 8412479. The next prime is 8412487. The reversal of 8412480 is 842148.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8412487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66177 + ... + 66303.

Almost surely, 28412480 is an apocalyptic number.

8412480 is a gapful number since it is divisible by the number (80) 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 8412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15215616).

8412480 is an abundant number, since it is smaller than the sum of its proper divisors (22018752).

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

8412480 is a wasteful number, since it uses less digits than its factorization.

8412480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 160 counting only the distinct ones).

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

The square root of 8412480 is about 2900.4275546891. The cubic root of 8412480 is about 203.3798931868.

It can be divided in two parts, 841 and 2480, that added together give a triangular number (3321 = T81).

The spelling of 8412480 in words is "eight million, four hundred twelve thousand, four hundred eighty".