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80444448 = 2533747283
BaseRepresentation
bin1001100101101…
…11110000100000
312121101000001000
410302313300200
5131043210243
611552112000
71664523630
oct462676040
9177330030
1080444448
1141455117
1222b35600
1313887786
14a9806c0
1570e05d3
hex4cb7c20

80444448 has 192 divisors, whose sum is σ = 274821120. Its totient is φ = 22415616.

The previous prime is 80444447. The next prime is 80444449. The reversal of 80444448 is 84444408.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (80444447) and next prime (80444449).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80444447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 284115 + ... + 284397.

It is an arithmetic number, because the mean of its divisors is an integer number (1431360).

Almost surely, 280444448 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 80444448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137410560).

80444448 is an abundant number, since it is smaller than the sum of its proper divisors (194376672).

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

80444448 is a wasteful number, since it uses less digits than its factorization.

80444448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The square root of 80444448 is about 8969.0828962609. The cubic root of 80444448 is about 431.6834100199.

The spelling of 80444448 in words is "eighty million, four hundred forty-four thousand, four hundred forty-eight".