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382979480 = 235131993701
BaseRepresentation
bin10110110100111…
…100110110011000
3222200122101002012
4112310330312120
51241020320410
6102000325052
712330162152
oct2664746630
9880571065
10382979480
11187200174
12a8313788
13614623a0
1438c13ad2
1523950605
hex16d3cd98

382979480 has 64 divisors (see below), whose sum is σ = 932904000. Its totient is φ = 140659200.

The previous prime is 382979473. The next prime is 382979497. The reversal of 382979480 is 84979283.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101630 + ... + 105330.

It is an arithmetic number, because the mean of its divisors is an integer number (14576625).

Almost surely, 2382979480 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 382979480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466452000).

382979480 is an abundant number, since it is smaller than the sum of its proper divisors (549924520).

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

382979480 is a wasteful number, since it uses less digits than its factorization.

382979480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3924 (or 3920 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 50.

The square root of 382979480 is about 19569.8615222490. The cubic root of 382979480 is about 726.2037742516.

The spelling of 382979480 in words is "three hundred eighty-two million, nine hundred seventy-nine thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 199 260 398 520 796 995 1592 1990 2587 3701 3980 5174 7402 7960 10348 12935 14804 18505 20696 25870 29608 37010 48113 51740 74020 96226 103480 148040 192452 240565 384904 481130 736499 962260 1472998 1924520 2945996 3682495 5891992 7364990 9574487 14729980 19148974 29459960 38297948 47872435 76595896 95744870 191489740 382979480