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80419248 = 243271317192
BaseRepresentation
bin1001100101100…
…01100110110000
312121022201110200
410302301212300
5131041403443
611551355200
71664360310
oct462614660
9177281420
1080419248
1141438198
1222b22b00
1313879170
14a975440
1570d7dd3
hex4cb19b0

80419248 has 360 divisors, whose sum is σ = 309542688. Its totient is φ = 18911232.

The previous prime is 80419237. The next prime is 80419249. The reversal of 80419248 is 84291408.

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

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (80419249) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4232583 + ... + 4232601.

Almost surely, 280419248 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 80419248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154771344).

80419248 is an abundant number, since it is smaller than the sum of its proper divisors (229123440).

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

80419248 is a wasteful number, since it uses less digits than its factorization.

80419248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 80419248 is about 8967.6779603195. The cubic root of 80419248 is about 431.6383289802.

The spelling of 80419248 in words is "eighty million, four hundred nineteen thousand, two hundred forty-eight".