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8249472 = 273371131
BaseRepresentation
bin11111011110000010000000
3120112010011000
4133132002000
54102440342
6452452000
7130055640
oct37360200
916463130
108249472
114724a50
12291a000
13192ab5a
14114a520
15ace44c
hex7de080

8249472 has 256 divisors, whose sum is σ = 31334400. Its totient is φ = 2073600.

The previous prime is 8249459. The next prime is 8249489. The reversal of 8249472 is 2749428.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (32256) is a multiple of the sum of its prime factors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 266097 + ... + 266127.

It is an arithmetic number, because the mean of its divisors is an integer number (122400).

Almost surely, 28249472 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 8249472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15667200).

8249472 is an abundant number, since it is smaller than the sum of its proper divisors (23084928).

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

8249472 is a wasteful number, since it uses less digits than its factorization.

8249472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 54 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 8249472 is about 2872.1894087960. The cubic root of 8249472 is about 202.0576902831.

It can be divided in two parts, 824 and 9472, that added together give a triangular number (10296 = T143).

The spelling of 8249472 in words is "eight million, two hundred forty-nine thousand, four hundred seventy-two".