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1011285472 = 25313133257
BaseRepresentation
bin111100010001101…
…111110111100000
32121110220121212111
4330101233313200
54032342113342
6244203205104
734026533101
oct7421576740
92543817774
101011285472
1147993181a
12242816794
1313168bb92
14984483a8
155dbb0217
hex3c46fde0

1011285472 has 48 divisors (see below), whose sum is σ = 2062392192. Its totient is φ = 487618560.

The previous prime is 1011285467. The next prime is 1011285479. The reversal of 1011285472 is 2745821101.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011285479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 308868 + ... + 312124.

It is an arithmetic number, because the mean of its divisors is an integer number (42966504).

Almost surely, 21011285472 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 1011285472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031196096).

1011285472 is an abundant number, since it is smaller than the sum of its proper divisors (1051106720).

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

1011285472 is a wasteful number, since it uses less digits than its factorization.

1011285472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3611 (or 3603 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 31.

The square root of 1011285472 is about 31800.7149605162. The cubic root of 1011285472 is about 1003.7477607428.

The spelling of 1011285472 in words is "one billion, eleven million, two hundred eighty-five thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 31 32 62 124 248 313 496 626 992 1252 2504 3257 5008 6514 9703 10016 13028 19406 26056 38812 52112 77624 100967 104224 155248 201934 310496 403868 807736 1019441 1615472 2038882 3230944 4077764 8155528 16311056 31602671 32622112 63205342 126410684 252821368 505642736 1011285472