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385025076 = 22342814229
BaseRepresentation
bin10110111100110…
…000010000110100
3222211111022010000
4112330300100310
51242031300301
6102112231300
712353442042
oct2674602064
9884438100
10385025076
11188378047
12a8b3b530
13619ca4b7
14391c7392
1523c06786
hex16f30434

385025076 has 60 divisors (see below), whose sum is σ = 1010352420. Its totient is φ = 127854720.

The previous prime is 385025057. The next prime is 385025077. The reversal of 385025076 is 670520583.

385025076 is a `hidden beast` number, since 38 + 502 + 50 + 76 = 666.

385025076 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 343731600 + 41293476 = 18540^2 + 6426^2 .

It is a super-3 number, since 3×3850250763 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 385025076.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385025077) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 88930 + ... + 93158.

It is an arithmetic number, because the mean of its divisors is an integer number (16839207).

Almost surely, 2385025076 is an apocalyptic number.

385025076 is a gapful number since it is divisible by the number (36) 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 385025076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505176210).

385025076 is an abundant number, since it is smaller than the sum of its proper divisors (625327344).

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

385025076 is a wasteful number, since it uses less digits than its factorization.

385025076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4526 (or 4515 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 385025076 is about 19622.0558555927. The cubic root of 385025076 is about 727.4944286958.

The spelling of 385025076 in words is "three hundred eighty-five million, twenty-five thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 281 324 562 843 1124 1686 2529 3372 4229 5058 7587 8458 10116 12687 15174 16916 22761 25374 30348 38061 45522 50748 76122 91044 114183 152244 228366 342549 456732 685098 1188349 1370196 2376698 3565047 4753396 7130094 10695141 14260188 21390282 32085423 42780564 64170846 96256269 128341692 192512538 385025076