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80484480 = 2732589157
BaseRepresentation
bin1001100110000…
…01100010000000
312121110000221200
410303001202000
5131101000410
611553021200
71665051426
oct463014200
9177400850
1080484480
11414821aa
1222b54800
131389ca6b
14a991116
1570ec3c0
hex4cc1880

80484480 has 192 divisors, whose sum is σ = 282835800. Its totient is φ = 21086208.

The previous prime is 80484461. The next prime is 80484493. The reversal of 80484480 is 8448408.

It can be written as a sum of positive squares in 4 ways, for example, as 44195904 + 36288576 = 6648^2 + 6024^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

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, 512562 + ... + 512718.

Almost surely, 280484480 is an apocalyptic number.

80484480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80484480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141417900).

80484480 is an abundant number, since it is smaller than the sum of its proper divisors (202351320).

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

80484480 is a wasteful number, since it uses less digits than its factorization.

80484480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 80484480 is about 8971.3142849863. The cubic root of 80484480 is about 431.7550051182.

The spelling of 80484480 in words is "eighty million, four hundred eighty-four thousand, four hundred eighty".