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1480495968 = 2535759461
BaseRepresentation
bin101100000111110…
…1001001101100000
310211011210222200000
41120033221031200
511013001332333
6402524100000
751455002530
oct13017511540
93734728600
101480495968
1169a779596
12353994600
131a7953823
141008a74c0
1589e95713
hex583e9360

1480495968 has 288 divisors, whose sum is σ = 5085400320. Its totient is φ = 414927360.

The previous prime is 1480495943. The next prime is 1480495969. The reversal of 1480495968 is 8695940841.

1480495968 is a `hidden beast` number, since 1 + 4 + 8 + 0 + 49 + 596 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×14804959682 = 4383736622528514048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1480495969) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3211258 + ... + 3211718.

It is an arithmetic number, because the mean of its divisors is an integer number (17657640).

Almost surely, 21480495968 is an apocalyptic number.

1480495968 is a gapful number since it is divisible by the number (18) 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 1480495968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2542700160).

1480495968 is an abundant number, since it is smaller than the sum of its proper divisors (3604904352).

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

1480495968 is an equidigital number, since it uses as much as digits as its factorization.

1480495968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The square root of 1480495968 is about 38477.2136205313. The cubic root of 1480495968 is about 1139.7311277264.

The spelling of 1480495968 in words is "one billion, four hundred eighty million, four hundred ninety-five thousand, nine hundred sixty-eight".