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382437136 = 2448892
BaseRepresentation
bin10110110010111…
…000011100010000
3222122121211010101
4112302320130100
51240400442021
6101540542144
712322443034
oct2662703420
9878554111
10382437136
1118696a754
12a80b1954
1361302583
1438b121c4
1523894a91
hex16cb8710

382437136 has 15 divisors (see below), whose sum is σ = 741123541. Its totient is φ = 191179456.

The previous prime is 382437131. The next prime is 382437137. The reversal of 382437136 is 631734283.

The square root of 382437136 is 19556.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 267518736 + 114918400 = 16356^2 + 10720^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 382437095 and 382437104.

It is not an unprimeable number, because it can be changed into a prime (382437131) 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 2 ways as a sum of consecutive naturals, for example, 75780 + ... + 80668.

Almost surely, 2382437136 is an apocalyptic number.

382437136 is the 19556-th square number.

It is an amenable number.

382437136 is a deficient number, since it is larger than the sum of its proper divisors (358686405).

382437136 is an frugal number, since it uses more digits than its factorization.

382437136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9786 (or 4891 counting only the distinct ones).

The product of its digits is 72576, while the sum is 37.

The cubic root of 382437136 is about 725.8608156508.

The spelling of 382437136 in words is "three hundred eighty-two million, four hundred thirty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 4889 9778 19556 39112 78224 23902321 47804642 95609284 191218568 382437136