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381202272 = 253211210939
BaseRepresentation
bin10110101110001…
…010111101100000
3222120022002012200
4112232022331200
51240041433042
6101454253200
712306110613
oct2656127540
9876262180
10381202272
111861a6a00
12a77b7200
1360c8c499
14388b017a
15236edc4c
hex16b8af60

381202272 has 108 divisors (see below), whose sum is σ = 1191661380. Its totient is φ = 115505280.

The previous prime is 381202259. The next prime is 381202273. The reversal of 381202272 is 272202183.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381202273) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 29379 + ... + 40317.

Almost surely, 2381202272 is an apocalyptic number.

381202272 is a gapful number since it is divisible by the number (32) 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 381202272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595830690).

381202272 is an abundant number, since it is smaller than the sum of its proper divisors (810459108).

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

381202272 is a wasteful number, since it uses less digits than its factorization.

381202272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10977 (or 10955 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 381202272 is about 19524.4019626722. The cubic root of 381202272 is about 725.0787212182.

The spelling of 381202272 in words is "three hundred eighty-one million, two hundred two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 121 132 144 176 198 242 264 288 352 363 396 484 528 726 792 968 1056 1089 1452 1584 1936 2178 2904 3168 3872 4356 5808 8712 10939 11616 17424 21878 32817 34848 43756 65634 87512 98451 120329 131268 175024 196902 240658 262536 350048 360987 393804 481316 525072 721974 787608 962632 1050144 1082961 1323619 1443948 1575216 1925264 2165922 2647238 2887896 3150432 3850528 3970857 4331844 5294476 5775792 7941714 8663688 10588952 11551584 11912571 15883428 17327376 21177904 23825142 31766856 34654752 42355808 47650284 63533712 95300568 127067424 190601136 381202272