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385757550 = 232527311743
BaseRepresentation
bin10110111111100…
…011000101101110
3222212212111212200
4112333203011232
51242223220200
6102140042330
712362612403
oct2677430556
9885774780
10385757550
111888283a2
12a92333a6
1361bc5a09
14393382aa
1523ced800
hex16fe316e

385757550 has 72 divisors (see below), whose sum is σ = 1050688704. Its totient is φ = 101450880.

The previous prime is 385757549. The next prime is 385757563. The reversal of 385757550 is 55757583.

385757550 is a `hidden beast` number, since 3 + 8 + 575 + 75 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 385757496 and 385757505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26979 + ... + 38721.

Almost surely, 2385757550 is an apocalyptic number.

385757550 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 385757550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525344352).

385757550 is an abundant number, since it is smaller than the sum of its proper divisors (664931154).

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

385757550 is a wasteful number, since it uses less digits than its factorization.

385757550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11834 (or 11826 counting only the distinct ones).

The product of its (nonzero) digits is 735000, while the sum is 45.

The square root of 385757550 is about 19640.7115451554. The cubic root of 385757550 is about 727.9554663717.

The spelling of 385757550 in words is "three hundred eighty-five million, seven hundred fifty-seven thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 73 75 90 146 150 219 225 365 438 450 657 730 1095 1314 1825 2190 3285 3650 5475 6570 10950 11743 16425 23486 32850 35229 58715 70458 105687 117430 176145 211374 293575 352290 528435 587150 857239 880725 1056870 1714478 1761450 2571717 2642175 4286195 5143434 5284350 7715151 8572390 12858585 15430302 21430975 25717170 38575755 42861950 64292925 77151510 128585850 192878775 385757550