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385505652 = 223735313001
BaseRepresentation
bin10110111110100…
…101100101110100
3222212101201100010
4112332211211310
51242142140102
6102130420220
712360513120
oct2676454564
9885351303
10385505652
11188676114
12a9131670
1361b3816c
14392b0580
1523c9dd6c
hex16fa5974

385505652 has 48 divisors (see below), whose sum is σ = 1031006592. Its totient is φ = 109824000.

The previous prime is 385505597. The next prime is 385505689. The reversal of 385505652 is 256505583.

385505652 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3855056522 = 297229215447890208, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 385505652.

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 15 ways as a sum of consecutive naturals, for example, 23152 + ... + 36152.

It is an arithmetic number, because the mean of its divisors is an integer number (21479304).

Almost surely, 2385505652 is an apocalyptic number.

It is an amenable number.

385505652 is an abundant number, since it is smaller than the sum of its proper divisors (645500940).

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

385505652 is a wasteful number, since it uses less digits than its factorization.

385505652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13368 (or 13366 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 39.

The square root of 385505652 is about 19634.2978484080. The cubic root of 385505652 is about 727.7969812871.

The spelling of 385505652 in words is "three hundred eighty-five million, five hundred five thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 353 706 1059 1412 2118 2471 4236 4942 7413 9884 13001 14826 26002 29652 39003 52004 78006 91007 156012 182014 273021 364028 546042 1092084 4589353 9178706 13768059 18357412 27536118 32125471 55072236 64250942 96376413 128501884 192752826 385505652