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385383525 = 3528361909
BaseRepresentation
bin10110111110000…
…111110001100101
3222212011111210220
4112332013301211
51242124233100
6102124034553
712356464062
oct2676076145
9885144726
10385383525
111885a238a
12a9092a59
1361ac46b7
143927bc69
1523c77aa0
hex16f87c65

385383525 has 24 divisors (see below), whose sum is σ = 644854560. Its totient is φ = 203058240.

The previous prime is 385383499. The next prime is 385383539. The reversal of 385383525 is 525383583.

385383525 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 385383525 - 220 = 384334949 is a prime.

It is a super-2 number, since 2×3853835252 = 297040922682851250, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24730 + ... + 37179.

It is an arithmetic number, because the mean of its divisors is an integer number (26868940).

Almost surely, 2385383525 is an apocalyptic number.

It is an amenable number.

385383525 is a deficient number, since it is larger than the sum of its proper divisors (259471035).

385383525 is a wasteful number, since it uses less digits than its factorization.

385383525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62005 (or 62000 counting only the distinct ones).

The product of its digits is 432000, while the sum is 42.

The square root of 385383525 is about 19631.1875595951. The cubic root of 385383525 is about 727.7201185579.

It can be divided in two parts, 3853 and 83525, that added together give a palindrome (87378).

The spelling of 385383525 in words is "three hundred eighty-five million, three hundred eighty-three thousand, five hundred twenty-five".

Divisors: 1 3 5 15 25 75 83 249 415 1245 2075 6225 61909 185727 309545 928635 1547725 4643175 5138447 15415341 25692235 77076705 128461175 385383525