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382488384 = 2633475741
BaseRepresentation
bin10110110011000…
…100111101000000
3222122201102102110
4112303010331000
51240404112014
6101542015320
712323045325
oct2663047500
9878642373
10382488384
111869a5203
12a8117540
136131c9b5
1438b26b4c
15238a4d59
hex16cc4f40

382488384 has 56 divisors (see below), whose sum is σ = 1015093728. Its totient is φ = 127106560.

The previous prime is 382488377. The next prime is 382488409. The reversal of 382488384 is 483884283.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 63754 + ... + 69494.

Almost surely, 2382488384 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 382488384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507546864).

382488384 is an abundant number, since it is smaller than the sum of its proper divisors (632605344).

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

382488384 is a wasteful number, since it uses less digits than its factorization.

382488384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6103 (or 6093 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 48.

The square root of 382488384 is about 19557.3102445096. The cubic root of 382488384 is about 725.8932368865.

The spelling of 382488384 in words is "three hundred eighty-two million, four hundred eighty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 347 694 1041 1388 2082 2776 4164 5552 5741 8328 11104 11482 16656 17223 22208 22964 33312 34446 45928 66624 68892 91856 137784 183712 275568 367424 551136 1102272 1992127 3984254 5976381 7968508 11952762 15937016 23905524 31874032 47811048 63748064 95622096 127496128 191244192 382488384