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161949216 = 253111347251
BaseRepresentation
bin10011010011100…
…10011000100000
3102021201212120010
421221302120200
5312424333331
624023044520
74004355102
oct1151623040
9367655503
10161949216
1183463930
12462a0740
1327723a50
1417719572
15e33ee46
hex9a72620

161949216 has 192 divisors, whose sum is σ = 512096256. Its totient is φ = 44160000.

The previous prime is 161949211. The next prime is 161949287. The reversal of 161949216 is 612949161.

161949216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (161949211) 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 31 ways as a sum of consecutive naturals, for example, 645091 + ... + 645341.

It is an arithmetic number, because the mean of its divisors is an integer number (2667168).

Almost surely, 2161949216 is an apocalyptic number.

161949216 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 161949216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256048128).

161949216 is an abundant number, since it is smaller than the sum of its proper divisors (350147040).

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

161949216 is a wasteful number, since it uses less digits than its factorization.

161949216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 327 counting only the distinct ones).

The product of its digits is 23328, while the sum is 39.

The square root of 161949216 is about 12725.9269210537. The cubic root of 161949216 is about 545.0792085307.

It can be divided in two parts, 161949 and 216, that added together give a triangular number (162165 = T569).

The spelling of 161949216 in words is "one hundred sixty-one million, nine hundred forty-nine thousand, two hundred sixteen".