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80603424 = 2534112257
BaseRepresentation
bin1001100110111…
…10100100100000
312121200002010000
410303132210200
5131113302144
611555340000
71666055256
oct463364440
9177602100
1080603424
1141553600
1222bb1600
1313911c45
14a9c25d6
157122769
hex4cde920

80603424 has 180 divisors, whose sum is σ = 261575622. Its totient is φ = 24330240.

The previous prime is 80603423. The next prime is 80603437. The reversal of 80603424 is 42430608.

It can be written as a sum of positive squares in only one way, i.e., 45319824 + 35283600 = 6732^2 + 5940^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80603423) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 313504 + ... + 313760.

Almost surely, 280603424 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 80603424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130787811).

80603424 is an abundant number, since it is smaller than the sum of its proper divisors (180972198).

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

80603424 is a wasteful number, since it uses less digits than its factorization.

80603424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 80603424 is about 8977.9409666137. The cubic root of 80603424 is about 431.9675901612.

The spelling of 80603424 in words is "eighty million, six hundred three thousand, four hundred twenty-four".