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386125056 = 28362069
BaseRepresentation
bin10111000000111…
…100110100000000
3222220120012000000
4113000330310000
51242322000211
6102152000000
712366003012
oct2700746400
9886505000
10386125056
11188a59519
12a9390000
1361cc4085
14393d21b2
1523d72656
hex1703cd00

386125056 has 126 divisors (see below), whose sum is σ = 1156142610. Its totient is φ = 128646144.

The previous prime is 386125031. The next prime is 386125067. The reversal of 386125056 is 650521683.

386125056 is a `hidden beast` number, since 38 + 612 + 5 + 0 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 269485056 + 116640000 = 16416^2 + 10800^2 .

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 386125056.

It is a congruent number.

It is an unprimeable number.

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 13 ways as a sum of consecutive naturals, for example, 185590 + ... + 187658.

It is an arithmetic number, because the mean of its divisors is an integer number (9175735).

Almost surely, 2386125056 is an apocalyptic number.

386125056 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 386125056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578071305).

386125056 is an abundant number, since it is smaller than the sum of its proper divisors (770017554).

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

386125056 is an frugal number, since it uses more digits than its factorization.

386125056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 386125056 is about 19650.0650380603. The cubic root of 386125056 is about 728.1865641081.

The spelling of 386125056 in words is "three hundred eighty-six million, one hundred twenty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 729 768 864 972 1152 1296 1458 1728 1944 2069 2304 2592 2916 3456 3888 4138 5184 5832 6207 6912 7776 8276 10368 11664 12414 15552 16552 18621 20736 23328 24828 31104 33104 37242 46656 49656 55863 62208 66208 74484 93312 99312 111726 132416 148968 167589 186624 198624 223452 264832 297936 335178 397248 446904 502767 529664 595872 670356 794496 893808 1005534 1191744 1340712 1508301 1588992 1787616 2011068 2383488 2681424 3016602 3575232 4022136 4766976 5362848 6033204 7150464 8044272 10725696 12066408 14300928 16088544 21451392 24132816 32177088 42902784 48265632 64354176 96531264 128708352 193062528 386125056