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161032248 = 233213434001
BaseRepresentation
bin10011001100100…
…10100000111000
3102020000021201100
421212102200320
5312211012443
623551251400
73663515526
oct1146224070
9366007640
10161032248
1182997a03
1245b19b60
1327492570
141755b316
15e20d3d3
hex9992838

161032248 has 96 divisors (see below), whose sum is σ = 480720240. Its totient is φ = 48384000.

The previous prime is 161032241. The next prime is 161032271. The reversal of 161032248 is 842230161.

161032248 is a `hidden beast` number, since 1 + 610 + 3 + 2 + 2 + 48 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161032241) 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 23 ways as a sum of consecutive naturals, for example, 38248 + ... + 42248.

Almost surely, 2161032248 is an apocalyptic number.

161032248 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 161032248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240360120).

161032248 is an abundant number, since it is smaller than the sum of its proper divisors (319687992).

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

161032248 is a wasteful number, since it uses less digits than its factorization.

161032248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4069 (or 4062 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 161032248 is about 12689.8482260427. The cubic root of 161032248 is about 544.0485016589.

The spelling of 161032248 in words is "one hundred sixty-one million, thirty-two thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 43 52 72 78 86 104 117 129 156 172 234 258 312 344 387 468 516 559 774 936 1032 1118 1548 1677 2236 3096 3354 4001 4472 5031 6708 8002 10062 12003 13416 16004 20124 24006 32008 36009 40248 48012 52013 72018 96024 104026 144036 156039 172043 208052 288072 312078 344086 416104 468117 516129 624156 688172 936234 1032258 1248312 1376344 1548387 1872468 2064516 2236559 3096774 3744936 4129032 4473118 6193548 6709677 8946236 12387096 13419354 17892472 20129031 26838708 40258062 53677416 80516124 161032248