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481496096 = 2537537673
BaseRepresentation
bin11100101100110…
…000110000100000
31020120000112110202
4130230300300200
51441230333341
6115440044332
714634435464
oct3454606040
91216015422
10481496096
11227879164
121153036a8
13789a6943
1447d3a4a4
152c41079b
hex1cb30c20

481496096 has 48 divisors (see below), whose sum is σ = 992064024. Its totient is φ = 229791744.

The previous prime is 481496063. The next prime is 481496107. The reversal of 481496096 is 690694184.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 481363600 + 132496 = 21940^2 + 364^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 481496096.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 58916 + ... + 66588.

Almost surely, 2481496096 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 481496096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496032012).

481496096 is an abundant number, since it is smaller than the sum of its proper divisors (510567928).

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

481496096 is a wasteful number, since it uses less digits than its factorization.

481496096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7773 (or 7765 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 47.

The square root of 481496096 is about 21943.0192999961. The cubic root of 481496096 is about 783.7861592272.

It can be divided in two parts, 48149 and 6096, that added together give a palindrome (54245).

The spelling of 481496096 in words is "four hundred eighty-one million, four hundred ninety-six thousand, ninety-six".

Divisors: 1 2 4 8 16 32 37 53 74 106 148 212 296 424 592 848 1184 1696 1961 3922 7673 7844 15346 15688 30692 31376 61384 62752 122768 245536 283901 406669 567802 813338 1135604 1626676 2271208 3253352 4542416 6506704 9084832 13013408 15046753 30093506 60187012 120374024 240748048 481496096