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503272224 = 253371337173
BaseRepresentation
bin11101111111110…
…101001100100000
31022001222212201000
4131333311030200
52012314202344
6121534512000
715320512650
oct3577651440
91261885630
10503272224
112390a1964
12120665600
138035c620
144aba8360
152e2b2a69
hex1dff5320

503272224 has 384 divisors, whose sum is σ = 1866170880. Its totient is φ = 128397312.

The previous prime is 503272219. The next prime is 503272271. The reversal of 503272224 is 422272305.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2909002 + ... + 2909174.

It is an arithmetic number, because the mean of its divisors is an integer number (4859820).

Almost surely, 2503272224 is an apocalyptic number.

503272224 is a gapful number since it is divisible by the number (54) 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 503272224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933085440).

503272224 is an abundant number, since it is smaller than the sum of its proper divisors (1362898656).

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

503272224 is a wasteful number, since it uses less digits than its factorization.

503272224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 503272224 is about 22433.7296052172. The cubic root of 503272224 is about 795.4282064823.

The spelling of 503272224 in words is "five hundred three million, two hundred seventy-two thousand, two hundred twenty-four".