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1007486016 = 2635247323
BaseRepresentation
bin111100000011010…
…000010001000000
32121012202120222220
4330003100101000
54030404023031
6243545531040
733652330005
oct7403202100
92535676886
101007486016
11477777179
122414a3a80
1313095b694
1497b398ac
155d6ae596
hex3c0d0440

1007486016 has 28 divisors (see below), whose sum is σ = 2665640592. Its totient is φ = 335828608.

The previous prime is 1007485993. The next prime is 1007486017. The reversal of 1007486016 is 6106847001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1007486017) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2623470 + ... + 2623853.

Almost surely, 21007486016 is an apocalyptic number.

1007486016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1007486016 is an abundant number, since it is smaller than the sum of its proper divisors (1658154576).

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

1007486016 is an equidigital number, since it uses as much as digits as its factorization.

1007486016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5247338 (or 5247328 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 1007486016 is about 31740.9202135036. The cubic root of 1007486016 is about 1002.4891377193.

The spelling of 1007486016 in words is "one billion, seven million, four hundred eighty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 5247323 10494646 15741969 20989292 31483938 41978584 62967876 83957168 125935752 167914336 251871504 335828672 503743008 1007486016