Search a number
-
+
1616233248 = 253272176737
BaseRepresentation
bin110000001010101…
…1100001100100000
311011122020011012200
41200111130030200
511302223430443
6424213253200
755023520200
oct14025341440
94148204180
101616233248
1175a359a63
12391334200
131c9aca846
1411491c400
1596d58dd3
hex6055c320

1616233248 has 216 divisors, whose sum is σ = 5661900972. Its totient is φ = 434552832.

The previous prime is 1616233219. The next prime is 1616233261. The reversal of 1616233248 is 8423326161.

1616233248 is a `hidden beast` number, since 1 + 6 + 1 + 623 + 3 + 24 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1578631824 + 37601424 = 39732^2 + 6132^2 .

It is a super-2 number, since 2×16162332482 = 5224419823881259008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 236536 + ... + 243272.

Almost surely, 21616233248 is an apocalyptic number.

1616233248 is a gapful number since it is divisible by the number (18) 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 1616233248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2830950486).

1616233248 is an abundant number, since it is smaller than the sum of its proper divisors (4045667724).

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

1616233248 is a wasteful number, since it uses less digits than its factorization.

1616233248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6784 (or 6766 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 1616233248 is about 40202.4035102380. The cubic root of 1616233248 is about 1173.5493183088.

The spelling of 1616233248 in words is "one billion, six hundred sixteen million, two hundred thirty-three thousand, two hundred forty-eight".