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1385884632 = 2331121313643
BaseRepresentation
bin101001010011010…
…1110101111011000
310120120210020022110
41102212232233120
510314241302012
6345304152320
746225552656
oct12246565730
93516706273
101385884632
11651328700
123281686a0
131911789a2
14d20b9dd6
1581a0773c
hex529aebd8

1385884632 has 96 divisors (see below), whose sum is σ = 3838443840. Its totient is φ = 416644800.

The previous prime is 1385884631. The next prime is 1385884637. The reversal of 1385884632 is 2364885831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1385884631) by changing a digit.

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, 378603 + ... + 382245.

It is an arithmetic number, because the mean of its divisors is an integer number (39983790).

Almost surely, 21385884632 is an apocalyptic number.

1385884632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1385884632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1919221920).

1385884632 is an abundant number, since it is smaller than the sum of its proper divisors (2452559208).

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

1385884632 is a wasteful number, since it uses less digits than its factorization.

1385884632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3805 (or 3790 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 48.

The square root of 1385884632 is about 37227.4714693330. The cubic root of 1385884632 is about 1114.9165433188.

The spelling of 1385884632 in words is "one billion, three hundred eighty-five million, eight hundred eighty-four thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 131 132 242 262 264 363 393 484 524 726 786 968 1048 1441 1452 1572 2882 2904 3144 3643 4323 5764 7286 8646 10929 11528 14572 15851 17292 21858 29144 31702 34584 40073 43716 47553 63404 80146 87432 95106 120219 126808 160292 190212 240438 320584 380424 440803 477233 480876 881606 954466 961752 1322409 1431699 1763212 1908932 2644818 2863398 3526424 3817864 5249563 5289636 5726796 10499126 10579272 11453592 15748689 20998252 31497378 41996504 57745193 62994756 115490386 125989512 173235579 230980772 346471158 461961544 692942316 1385884632