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80412448 = 2517532789
BaseRepresentation
bin1001100101011…
…11111100100000
312121022101010211
410302233330200
5131041144243
611551303504
71664331424
oct462577440
9177271124
1080412448
1141433076
1222b1ab94
131387603c
14a972b84
1570d5d9d
hex4caff20

80412448 has 48 divisors (see below), whose sum is σ = 170848440. Its totient is φ = 37113856.

The previous prime is 80412443. The next prime is 80412467. The reversal of 80412448 is 84421408.

It can be written as a sum of positive squares in 4 ways, for example, as 80066704 + 345744 = 8948^2 + 588^2 .

It is not an unprimeable number, because it can be changed into a prime (80412443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27438 + ... + 30226.

Almost surely, 280412448 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 80412448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85424220).

80412448 is an abundant number, since it is smaller than the sum of its proper divisors (90435992).

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

80412448 is a wasteful number, since it uses less digits than its factorization.

80412448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2869 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 31.

The square root of 80412448 is about 8967.2988129090. The cubic root of 80412448 is about 431.6261626418.

The spelling of 80412448 in words is "eighty million, four hundred twelve thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 17 32 34 53 68 106 136 212 272 424 544 848 901 1696 1802 2789 3604 5578 7208 11156 14416 22312 28832 44624 47413 89248 94826 147817 189652 295634 379304 591268 758608 1182536 1517216 2365072 2512889 4730144 5025778 10051556 20103112 40206224 80412448