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388380048 = 24372694297
BaseRepresentation
bin10111001001100…
…011010110010000
31000001210202021020
4113021203112100
51243411130143
6102312155440
712424114230
oct2711432620
91001722236
10388380048
1118a259751
12aa098b80
13626035a4
143981bcc0
152416a883
hex17263590

388380048 has 80 divisors (see below), whose sum is σ = 1151176320. Its totient is φ = 110527488.

The previous prime is 388380029. The next prime is 388380049. The reversal of 388380048 is 840083883.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 388379991 and 388380009.

It is not an unprimeable number, because it can be changed into a prime (388380049) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 88236 + ... + 92532.

It is an arithmetic number, because the mean of its divisors is an integer number (14389704).

Almost surely, 2388380048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 388380048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575588160).

388380048 is an abundant number, since it is smaller than the sum of its proper divisors (762796272).

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

388380048 is a wasteful number, since it uses less digits than its factorization.

388380048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4584 (or 4578 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 388380048 is about 19707.3602494094. The cubic root of 388380048 is about 729.6013636382.

The spelling of 388380048 in words is "three hundred eighty-eight million, three hundred eighty thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 269 336 538 807 1076 1614 1883 2152 3228 3766 4297 4304 5649 6456 7532 8594 11298 12891 12912 15064 17188 22596 25782 30079 30128 34376 45192 51564 60158 68752 90237 90384 103128 120316 180474 206256 240632 360948 481264 721896 1155893 1443792 2311786 3467679 4623572 6935358 8091251 9247144 13870716 16182502 18494288 24273753 27741432 32365004 48547506 55482864 64730008 97095012 129460016 194190024 388380048