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380278052 = 227112514919
BaseRepresentation
bin10110101010101…
…001010100100100
3222111120010102022
4112222221110210
51234322344202
6101422402312
712265211240
oct2652512444
9874503368
10380278052
11185725590
12a7430398
1360a278cb
143870d420
15235b9ea2
hex16aa9524

380278052 has 48 divisors (see below), whose sum is σ = 833172480. Its totient is φ = 147540000.

The previous prime is 380278039. The next prime is 380278061. The reversal of 380278052 is 250872083.

It is a happy number.

It is a super-2 number, since 2×3802780522 = 289222793665829408, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74849 + ... + 79767.

It is an arithmetic number, because the mean of its divisors is an integer number (17357760).

Almost surely, 2380278052 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 380278052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416586240).

380278052 is an abundant number, since it is smaller than the sum of its proper divisors (452894428).

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

380278052 is a wasteful number, since it uses less digits than its factorization.

380278052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5192 (or 5190 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 380278052 is about 19500.7192687860. The cubic root of 380278052 is about 724.4922656701.

The spelling of 380278052 in words is "three hundred eighty million, two hundred seventy-eight thousand, fifty-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 251 308 502 1004 1757 2761 3514 4919 5522 7028 9838 11044 19327 19676 34433 38654 54109 68866 77308 108218 137732 216436 378763 757526 1234669 1515052 2469338 4938676 8642683 13581359 17285366 27162718 34570732 54325436 95069513 190139026 380278052