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387420488 = 237131937757
BaseRepresentation
bin10111000101111…
…001000101001000
3222222222222222222
4113011321011020
51243134423423
6102235433212
712413006540
oct2705710510
9888888888
10387420488
11189763824
12a98b5808
13623588c0
143964c320
152402b3c8
hex17179148

387420488 has 128 divisors (see below), whose sum is σ = 967814400. Its totient is φ = 141087744.

The previous prime is 387420479. The next prime is 387420499. The reversal of 387420488 is 884024783.

387420488 is nontrivially palindromic in base 3 and base 9.

It is a Cunningham number, because it is equal to 318-1.

387420488 is a nontrivial repdigit in base 3 and base 9.

It is a plaindrome in base 3 and base 9.

It is a nialpdrome in base 3 and base 9.

It is a zygodrome in base 3 and base 9.

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 31 ways as a sum of consecutive naturals, for example, 511406 + ... + 512162.

It is an arithmetic number, because the mean of its divisors is an integer number (7561050).

Almost surely, 2387420488 is an apocalyptic number.

387420488 is a gapful number since it is divisible by the number (38) 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 387420488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483907200).

387420488 is an abundant number, since it is smaller than the sum of its proper divisors (580393912).

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

387420488 is a wasteful number, since it uses less digits than its factorization.

387420488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 44.

The square root of 387420488 is about 19682.9999745974. Note that the first 4 decimals coincide. The cubic root of 387420488 is about 728.9999993728. Note that the first 6 decimals are identical.

The spelling of 387420488 in words is "three hundred eighty-seven million, four hundred twenty thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 13 14 19 26 28 37 38 52 56 74 76 91 104 133 148 152 182 247 259 266 296 364 481 494 518 532 703 728 757 962 988 1036 1064 1406 1514 1729 1924 1976 2072 2812 3028 3367 3458 3848 4921 5299 5624 6056 6734 6916 9139 9841 9842 10598 13468 13832 14383 18278 19682 19684 21196 26936 28009 28766 36556 39364 39368 42392 56018 57532 63973 68887 73112 78728 100681 112036 115064 127946 137774 186979 196063 201362 224072 255892 275548 364117 373958 392126 402724 511784 532171 551096 728234 747916 784252 805448 1064342 1308853 1456468 1495832 1568504 2128684 2548819 2617706 2912936 3725197 4257368 5097638 5235412 6918223 7450394 10195276 10470824 13836446 14900788 20390552 27672892 29801576 48427561 55345784 96855122 193710244 387420488