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1628539696 = 247212911609
BaseRepresentation
bin110000100010001…
…1000101100110000
311012111101101111001
41201010120230300
511313401232241
6425333131344
755233234100
oct14104305460
94174341431
101628539696
117662a4a83
12395489b54
131cc519174
14116403200
1597e8a431
hex61118b30

1628539696 has 60 divisors (see below), whose sum is σ = 3675572040. Its totient is φ = 696971520.

The previous prime is 1628539691. The next prime is 1628539727. The reversal of 1628539696 is 6969358261.

It is a super-3 number, since 3×16285396963 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1628539691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1011340 + ... + 1012948.

It is an arithmetic number, because the mean of its divisors is an integer number (61259534).

Almost surely, 21628539696 is an apocalyptic number.

1628539696 is a gapful number since it is divisible by the number (16) 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 1628539696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837786020).

1628539696 is an abundant number, since it is smaller than the sum of its proper divisors (2047032344).

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

1628539696 is a wasteful number, since it uses less digits than its factorization.

1628539696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2922 (or 2909 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 55.

The square root of 1628539696 is about 40355.1693838596. The cubic root of 1628539696 is about 1176.5203668373.

The spelling of 1628539696 in words is "one billion, six hundred twenty-eight million, five hundred thirty-nine thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 1291 1609 2582 3218 5164 6436 9037 10328 11263 12872 18074 20656 22526 25744 36148 45052 63259 72296 78841 90104 126518 144592 157682 180208 253036 315364 506072 630728 1012144 1261456 2077219 4154438 8308876 14540533 16617752 29081066 33235504 58162132 101783731 116324264 203567462 232648528 407134924 814269848 1628539696