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80053434 = 2351271297
BaseRepresentation
bin1001100010110…
…00010010111010
312120122010200000
410301120102322
5130443202214
611535453430
71661304636
oct461302272
9176563600
1080053434
114120836a
1222987276
131377b7c6
14a8bbdc6
157064809
hex4c584ba

80053434 has 48 divisors (see below), whose sum is σ = 181429248. Its totient is φ = 26453952.

The previous prime is 80053429. The next prime is 80053469. The reversal of 80053434 is 43435008.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 80053398 and 80053407.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61074 + ... + 62370.

It is an arithmetic number, because the mean of its divisors is an integer number (3779776).

Almost surely, 280053434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80053434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90714624).

80053434 is an abundant number, since it is smaller than the sum of its proper divisors (101375814).

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

80053434 is a wasteful number, since it uses less digits than its factorization.

80053434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 80053434 is about 8947.2584627918. The cubic root of 80053434 is about 430.9828500416.

The spelling of 80053434 in words is "eighty million, fifty-three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 127 162 243 254 381 486 762 1143 1297 2286 2594 3429 3891 6858 7782 10287 11673 20574 23346 30861 35019 61722 70038 105057 164719 210114 315171 329438 494157 630342 988314 1482471 2964942 4447413 8894826 13342239 26684478 40026717 80053434