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750000016 = 241725710729
BaseRepresentation
bin101100101101000…
…001011110010000
31221021020221121101
4230231001132100
53014000000031
6202231034144
724404615653
oct5455013620
91837227541
10750000016
113553a0127
1218b20b954
13bc4c77bc
147187189a
1545c9c361
hex2cb41790

750000016 has 40 divisors (see below), whose sum is σ = 1544733720. Its totient is φ = 351535104.

The previous prime is 750000007. The next prime is 750000073. The reversal of 750000016 is 610000057.

It can be written as a sum of positive squares in 4 ways, for example, as 530841600 + 219158416 = 23040^2 + 14804^2 .

It is a junction number, because it is equal to n+sod(n) for n = 749999948 and 750000002.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 64540 + ... + 75268.

It is an arithmetic number, because the mean of its divisors is an integer number (38618343).

Almost surely, 2750000016 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 750000016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772366860).

750000016 is an abundant number, since it is smaller than the sum of its proper divisors (794733704).

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

750000016 is a wasteful number, since it uses less digits than its factorization.

750000016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11011 (or 11005 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 750000016 is about 27386.1281673770. The cubic root of 750000016 is about 908.5603028769.

The spelling of 750000016 in words is "seven hundred fifty million, sixteen", and thus it is an aban number.

Divisors: 1 2 4 8 16 17 34 68 136 257 272 514 1028 2056 4112 4369 8738 10729 17476 21458 34952 42916 69904 85832 171664 182393 364786 729572 1459144 2757353 2918288 5514706 11029412 22058824 44117648 46875001 93750002 187500004 375000008 750000016