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1016310048 = 253131747903
BaseRepresentation
bin111100100100111…
…010100100100000
32121211100220021220
4330210322210200
54040133410143
6244503015040
734120331025
oct7444724440
92554326256
101016310048
11481753866
1224443a480
1313272abc0
1498d9554c
155e353d83
hex3c93a920

1016310048 has 96 divisors (see below), whose sum is σ = 3042095616. Its totient is φ = 294309888.

The previous prime is 1016310041. The next prime is 1016310083. The reversal of 1016310048 is 8400136101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10163100482 = 2065772227331524608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1016310041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2736 + ... + 45167.

It is an arithmetic number, because the mean of its divisors is an integer number (31688496).

Almost surely, 21016310048 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 1016310048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521047808).

1016310048 is an abundant number, since it is smaller than the sum of its proper divisors (2025785568).

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

1016310048 is a wasteful number, since it uses less digits than its factorization.

1016310048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47946 (or 47938 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1016310048 is about 31879.6180654662. The cubic root of 1016310048 is about 1005.4073900952.

Adding to 1016310048 its reverse (8400136101), we get a palindrome (9416446149).

The spelling of 1016310048 in words is "one billion, sixteen million, three hundred ten thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 68 78 96 102 104 136 156 204 208 221 272 312 408 416 442 544 624 663 816 884 1248 1326 1632 1768 2652 3536 5304 7072 10608 21216 47903 95806 143709 191612 287418 383224 574836 622739 766448 814351 1149672 1245478 1532896 1628702 1868217 2299344 2443053 2490956 3257404 3736434 4598688 4886106 4981912 6514808 7472868 9772212 9963824 10586563 13029616 14945736 19544424 19927648 21173126 26059232 29891472 31759689 39088848 42346252 59782944 63519378 78177696 84692504 127038756 169385008 254077512 338770016 508155024 1016310048