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385507233 = 3273586769
BaseRepresentation
bin10110111110100…
…101111110100001
3222212101210111200
4112332211332201
51242142212413
6102130431413
712360520536
oct2676457641
9885353450
10385507233
11188677321
12a9132569
1361b38ab7
14392b0d8d
1523c9e573
hex16fa5fa1

385507233 has 12 divisors (see below), whose sum is σ = 564472740. Its totient is φ = 253483776.

The previous prime is 385507231. The next prime is 385507259. The reversal of 385507233 is 332705583.

385507233 is a `hidden beast` number, since 3 + 8 + 550 + 72 + 33 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 212926464 + 172580769 = 14592^2 + 13137^2 .

It is not a de Polignac number, because 385507233 - 21 = 385507231 is a prime.

It is not an unprimeable number, because it can be changed into a prime (385507231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 292728 + ... + 294041.

It is an arithmetic number, because the mean of its divisors is an integer number (47039395).

Almost surely, 2385507233 is an apocalyptic number.

It is an amenable number.

385507233 is a deficient number, since it is larger than the sum of its proper divisors (178965507).

385507233 is a wasteful number, since it uses less digits than its factorization.

385507233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586848 (or 586845 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 385507233 is about 19634.3381095468. The cubic root of 385507233 is about 727.7979762102.

The spelling of 385507233 in words is "three hundred eighty-five million, five hundred seven thousand, two hundred thirty-three".

Divisors: 1 3 9 73 219 657 586769 1760307 5280921 42834137 128502411 385507233