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381203526 = 23113724219
BaseRepresentation
bin10110101110001…
…011010001000110
3222120022010221010
4112232023101012
51240042003101
6101454303050
712306114354
oct2656132106
9876263833
10381203526
111861a7940
12a77b7a86
1360c8cc22
14388b07d4
15236ee2d6
hex16b8b446

381203526 has 48 divisors (see below), whose sum is σ = 855005760. Its totient is φ = 112367520.

The previous prime is 381203513. The next prime is 381203531. The reversal of 381203526 is 625302183.

It is a super-3 number, since 3×3812035263 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 381203493 and 381203502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88245 + ... + 92463.

It is an arithmetic number, because the mean of its divisors is an integer number (17812620).

Almost surely, 2381203526 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381203526, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427502880).

381203526 is an abundant number, since it is smaller than the sum of its proper divisors (473802234).

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

381203526 is a wasteful number, since it uses less digits than its factorization.

381203526 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4309 (or 4272 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 381203526 is about 19524.4340763055. The cubic root of 381203526 is about 725.0795162884.

The spelling of 381203526 in words is "three hundred eighty-one million, two hundred three thousand, five hundred twenty-six".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 814 1221 1369 2442 2738 4107 4219 8214 8438 12657 15059 25314 30118 45177 46409 90354 92818 139227 156103 278454 312206 468309 936618 1717133 3434266 5151399 5775811 10302798 11551622 17327433 34654866 63533921 127067842 190601763 381203526