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8487072 = 2533111947
BaseRepresentation
bin100000011000…
…000010100000
3120222012002000
4200120002200
54133041242
6501524000
7132065436
oct40300240
916865060
108487072
114877510
122a13600
1319b2049
1411acd56
15b29a4c
hex8180a0

8487072 has 192 divisors, whose sum is σ = 29030400. Its totient is φ = 2384640.

The previous prime is 8487071. The next prime is 8487079. The reversal of 8487072 is 2707848.

It is a super-2 number, since 2×84870722 = 144060782266368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8487071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180553 + ... + 180599.

It is an arithmetic number, because the mean of its divisors is an integer number (151200).

Almost surely, 28487072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8487072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14515200).

8487072 is an abundant number, since it is smaller than the sum of its proper divisors (20543328).

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

8487072 is a wasteful number, since it uses less digits than its factorization.

8487072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 8487072 is about 2913.2579700397. The cubic root of 8487072 is about 203.9792366411.

The spelling of 8487072 in words is "eight million, four hundred eighty-seven thousand, seventy-two".