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2450252385 = 3257107139523
BaseRepresentation
bin1001001000001011…
…1110001001100001
320022202120201101100
42102002332021201
520004231034020
61043045225013
7114501541650
oct22202761141
96282521340
102450252385
111048115979
12584702169
13300831ba9
141935c1197
15e51a0a90
hex920be261

2450252385 has 96 divisors (see below), whose sum is σ = 4943877120. Its totient is φ = 1099557504.

The previous prime is 2450252351. The next prime is 2450252401. The reversal of 2450252385 is 5832520542.

It is a happy number.

2450252385 is a `hidden beast` number, since 2 + 4 + 50 + 2 + 523 + 85 = 666.

It is not a de Polignac number, because 2450252385 - 27 = 2450252257 is a prime.

Together with 2493624735 it forms an amicable pair .

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 4684734 + ... + 4685256.

It is an arithmetic number, because the mean of its divisors is an integer number (51498720).

Almost surely, 22450252385 is an apocalyptic number.

It is an amenable number.

2450252385 is an abundant number, since it is smaller than the sum of its proper divisors (2493624735).

2450252385 is a wasteful number, since it uses less digits than its factorization.

2450252385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 2450252385 is about 49500.0240909032. The cubic root of 2450252385 is about 1348.1460394761.

The spelling of 2450252385 in words is "two billion, four hundred fifty million, two hundred fifty-two thousand, three hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 107 139 315 321 417 523 535 695 749 963 973 1251 1569 1605 2085 2247 2615 2919 3661 3745 4707 4815 4865 6255 6741 7845 8757 10983 11235 14595 14873 18305 23535 32949 33705 43785 44619 54915 55961 72697 74365 104111 133857 164745 167883 218091 223095 279805 312333 363485 391727 503649 508879 520555 654273 669285 839415 936999 1090455 1175181 1526637 1561665 1958635 2518245 2544395 3271365 3525543 4579911 4684995 5875905 7633185 7778579 17627715 22899555 23335737 38892895 54450053 70007211 116678685 163350159 272250265 350036055 490050477 816750795 2450252385