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80414496 = 2532319007
BaseRepresentation
bin1001100101100…
…00011100100000
312121022110221200
410302300130200
5131041230441
611551321200
71664340411
oct462603440
9177273850
1080414496
1141434668
1222b20200
1313876c56
14a973808
1570d67b6
hex4cb0720

80414496 has 72 divisors (see below), whose sum is σ = 236081664. Its totient is φ = 25937280.

The previous prime is 80414491. The next prime is 80414513. The reversal of 80414496 is 69441408.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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 self number, because there is not a number n which added to its sum of digits gives 80414496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80414491) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4425 + ... + 13431.

It is an arithmetic number, because the mean of its divisors is an integer number (3278912).

Almost surely, 280414496 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 80414496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118040832).

80414496 is an abundant number, since it is smaller than the sum of its proper divisors (155667168).

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

80414496 is a wasteful number, since it uses less digits than its factorization.

80414496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9054 (or 9043 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 80414496 is about 8967.4130048749. The cubic root of 80414496 is about 431.6298269288.

The spelling of 80414496 in words is "eighty million, four hundred fourteen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 4464 8928 9007 18014 27021 36028 54042 72056 81063 108084 144112 162126 216168 279217 288224 324252 432336 558434 648504 837651 864672 1116868 1297008 1675302 2233736 2512953 2594016 3350604 4467472 5025906 6701208 8934944 10051812 13402416 20103624 26804832 40207248 80414496